#subtraction

Challenge: Can you solve this story problem without rereading it? Pay close attention!

Sally has a basket with eight apples. Five of the apples are red. Three of the apples are green.

Sally needs to deliver these red and green apples through the dark woods to the hungry kids in the refugee camp. The last person to go through the dark woods never returned.

On the trail, one priest stops Sally and offers her one magical ward in exchange for two apples, but Sally already has a couple magical wards and doesn’t need anymore. She tries to push past the priest, but he says he won’t let her go into the woods unless she gives him at least one apple. So Sally gives him one red apple, then holds up one middle finger to him as she enters the woods.

In the woods, Sally finds another basket of apples next to a skeleton. Oh, that’s what happened to the last person who went into the woods before Sally! The skeleton’s basket has two less red apples than Sally’s and two more green apples. Sally takes all the apples from the second basket and puts them into her own because the skeleton wasn’t going to need them anymore.

Suddenly, a giant hairy insectlike monster with two long antennae, six beady eyes and a long tail with a sharp point like a Scorpion’s (which Sally finds weird because Scorpions are arachnids; not insects) leaps out at her. Sally runs away as fast as she can while carrying her basket filled with a variable number of apples, but she trips and drops one green apple and two red apples.

After a while, Sally gets hungry. She knows these apples need to be delivered to the poor refugee kids, but maybe it wouldn’t hurt to eat one. Sally picks up one red apple and gets ready to eat it. Then she sees a strange tree growing weird purple apples. There are seven purple apples on the tree. Sally picks a purple apple and eats it. It tastes strange and she feels good. Then she picks another and eats it too. Altogether, Sally ate two purple apples. Sally picks the other purple apples and puts them into her basket.

After trudging further into the woods, now feeling good, Sally finds a unicorn with three green apples stuck on its horn. She runs to it and picks the apples from the horn, putting them into her basket one by one. But then she realizes she’s hallucinating and those apples aren’t real. Silly Sally. That’s why you shouldn’t eat mysterious purple apples in dark forests.

Sally throws out the other purple apples. Drugging children is very illegal.

While still super high, Sally trips. Literally in addition to metaphorically. She loses zero green apples and zero red apples. But she hurts her leg and needs to pick up a stick to walk with. A green stick.

Then Sally hears the monster from earlier coming at her from behind. It’s going to eat her, and she can’t run away. So Sally takes her green walking stick and jabs it into one of the monster’s eyes, poking it out. The monster whimpers and runs back into the woods because the monster was a pussy.

But in the struggle, Sally dropped two green apples. But after some searching, she finds one of them and puts it back in her basket.

At last, Sally makes it to the refugees with the remaining red and green apples.

There are six children. Three of the children are dressed in red. Three of the children are dressed in green. The children in green like Sally’s  green walking stick. The children in red do not. Sally wants to divide the apples in a way that each kid gets an equal share of apples that matches the color they’re dressed in. Then Sally realizes that would be stupid and doesn’t do that.

Sally tells the story of her epic journey through the woods after passing out apples for all the kids, and all the children listen intently to Sally’s story.

Did you listen intently to the story? If so, can you tell me...

1: Every number is a multiple of 1

2: The number ends in 0, 2, 4, 6 or 8 (an even digit)

3: The sum of the digits is a multiple of 3

4: The 2nd to last digit is even and the last digit is 0, 4 or 8, or the 2nd to last digit is odd and the last digit is 2 or 6

5: The number ends in 0 or 5

6: The number is a multiple of both 2 and 3

7: The subtraction of twice the last digit and the rest of the number is a multiple of 7

8: The 3rd to last digit is even and the last 2 digits are a multiple of 8 or the 3rd to last digit is odd and the last 2 digits are a multiple of 4 but not of 8

9: The sum of the digits is a multiple of 9

10: The number ends in 0

11: The subtraction of the sum of the digits in odd places and the sum of the digits in even places is a multiple of 11

12: The number is a multiple of both 3 and 4

13: The sum of 4 times the last digit and the rest of the number is a multiple of 13

14: The number is a multiple of both 2 and 7

15: The number is a multiple of both 3 and 5

16: The 4th to last digit is even and the last 3 digits are a multiple of 16 or the 4th to last digit is odd and the last 3 digits are a multiple of 8 but not of 16

17: The subtraction of 5 times the last digit and the rest of the number is a multiple of 17

18: The number is a multiple of both 2 and 9

19: The sum of twice the last digit and the rest of the number is a multiple of 19

20: The number ends in 00, 20, 40, 60 or 80

21: The subtraction twice the last digit and the rest of the number is a multiple of 21

22: The number is a multiple of both 2 and 11

23: The sum of 7 times the last digit and the rest of the number is a multiple of 23

24: The number is a multiple of both 3 and 8

25: The number ends in 00, 25, 50 or 75

26: The number is a multiple of both 2 and 13

27: The subtracrion of 8 times the last digit and the rest of the number is a multiple of 27

28: The number is a multiple of both 4 and 7

29: The sum of 3 times the last digit and the rest of the number is a multiple of 29

30: The number is a multiple of both 3 and 10

31: The subtraction of 3 times the last digit and the rest of the number is a multiple of 31

32: The last 5 digits are a multiple of 32

33: The sum of 10 times the last digit and the rest of the number is a multiple of 33

34: The number is a multiple of both 2 and 17

35: The number is a multiple of both 5 and 7

36: The number is a multiple of both 4 and 9

37: The subtraction of 11 times the last digit and the rest of the number is a multiple of 37

38: The number is a multiple of both 2 and 19

39: The sum of 4 times the last digit and the rest of the number is a multiple of 39

40: The 3rd to last digit is even and the last 2 digits are 00, 40 or 80, or the 3rd to last digit is odd and the last 2 digits are 20 or 60

41: The subtraction of 4 times the last digit and the rest of the number is a multiple of 41

42: The number is a multiple of both 2 and 21

43: The sum of 13 times the last digit and the rest of the number is a multiple of 43

44: The number is a multiple of both 4 and 11

45: The number is a multiple of both 5 and 9

46: The number is a multiple of both 2 and 23

47: The subtraction of 14 times the last digit and the rest of the number is a multiple of 47

48: The number is a multiple of both 3 and 16

49: The sum of 5 times the last digit and the rest of the number is a multiple of 49

50: The number ends in 00 or 50

51: The subtraction of 5 times the last digit and the rest of the number is a multiple of 51

52: The number is a multiple of both 4 and 13

53: The sum of 16 times the last digit and the rest of the number is a multiple of 53

54: The number is a multiple of both 2 and 27

55: The number is a multiple of both 5 and 11

56: The number is a multiple of both 7 and 8

57: The subtraction of 17 times the last digit and the rest of the number is a multiple of 57

58: The number is a multiple of both 2 and 29

59: The sum of 6 times the last digit and the rest of the number is a multiple of 59

60: The number is a multiple of both 3 and 20

61: The subtraction of 6 times the last digit and the rest of the number is a multiple of 61

62: The number is a multiple of both 2 and 31

63: The sum of 19 times the last digit and the rest of the number is a multiple of 63

64: The last 6 digits are a multiple of 64

65: The number is a multiple of both 5 and 13

66: The number is a multiple of both 2 and 33

67: The subtraction of 20 times the last digit and the rest of the number is a multiple of 67

68: The number is a multiple of both 4 and 17

69: The sum of 7 times the last digit and the rest of the number is a multiple of 69

70: The number is a multiple of both 7 and 10

71: The subtraction of 7 times the last digit and the rest of the number is a multiple of 71

72: The number is a multiple of both 8 and 9

73: The sum of 22 times the last digit and the rest of the number is a multiple of 73

74: The number is a multiple of both 2 and 37

75: The number is a multiple of both 3 and 25

76: The number is a multiple of both 4 and 19

77: The subtraction of 23 times the last digit and the rest of the number is a multiple of 77

78: The number is a multiple of both 2 and 39

79: The sum of 8 times the last digit and the rest of the number is a multiple of 79

80: The 4th to last digit is even and the last 3 digits are a multiple of 80 or the 4th to last digit is odd and the last 3 digits are a multiple of 40 but not of 80

81: The subtraction of 8 times the last digit and the rest of the number is a multiple of 81

82: The number is a multiple of both 2 and 41

83: The sum of 25 times the last digit and the rest of the number is a multiple of 83

84: The number is a multiple of both 4 and 21

85: The number is a multiple of both 5 and 17

86: The number is a multiple of both 2 and 43

87: The subtraction of 26 times the last digit and the rest of the number is a multiple of 87

88: The number is a multiple of both 8 and 11

89: The sum of 9 times the last digit and the rest of the number is a multiple of 89

90: The number is a multiple of both 9 and 10

91: The subtraction of 9 times the last digit and the rest of the number is a multiple of 91

92: The number is a multiple of both 4 and 23

93: The sum of 28 times the last digit and the rest of the number is a multiple of 93

94: The number is a multiple of both 2 and 47

95: The number is a multiple of both 5 and 19

96: The number is a multiple of both 3 and 32

97: The subtraction of 29 times the last digit and the rest of the number is a multiple of 97

98: The number is a multiple of both 2 and 49

99: The sum of 10 times the last digit and the rest of the number is a multiple of 99