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There's a "riddle" in the game that's actually a math problem in disguise. It took me a bit to figure it out. Unfortunately, I was only 95% correct in my math and forgot a step (though in my defense, I was also getting really tired at the time), so I got it wrong in the end. Will you? The full text of the riddle is below.
"After slaying a dragon, a group of knights gave some of the trinkets from a treasure horde to a group of fewer than 10 human girls to divide."
"While the trinkets could have been divided equally amongst the girls, they argued over how to divide it."
"One suggested that they divide it by family instead of by individual. In the group, there were two groups of two sisters, the rest unrelated."
"This division would mean that the trinkets per family were five more than trinkets per girl."
"Before a decision was made, one girl said she desired nothing, so her share was divided amongst the others. The shares were equal once again."
"The suggestion of dividing the trinkets by family was then withdrawn as all were now satisfied. How many girls shared in the division and how many did each get?"
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If you want it, the multiple choice answers given by the game are below, but I know that you don't actually need them to solve the problem.
Here's my work if you need it.
MAKE SURE THAT YOU PUT YOUR ANSWER IN SPOILER TAGS IF YOU POST IT.
"After slaying a dragon, a group of knights gave some of the trinkets from a treasure horde to a group of fewer than 10 human girls to divide."
"While the trinkets could have been divided equally amongst the girls, they argued over how to divide it."
"One suggested that they divide it by family instead of by individual. In the group, there were two groups of two sisters, the rest unrelated."
"This division would mean that the trinkets per family were five more than trinkets per girl."
"Before a decision was made, one girl said she desired nothing, so her share was divided amongst the others. The shares were equal once again."
"The suggestion of dividing the trinkets by family was then withdrawn as all were now satisfied. How many girls shared in the division and how many did each get?"
-
If you want it, the multiple choice answers given by the game are below, but I know that you don't actually need them to solve the problem.
A. 10 trinkets, 6 girls
B. 12 trinkets, 5 girls
C. 14 trinkets, 5 girls
B. 12 trinkets, 5 girls
C. 14 trinkets, 5 girls
Here's my work if you need it.
All variables are counting numbers.
Families (g) = 2 < g < 6
Sisters (s) = 4 < s < 10
Sisters in consideration (c) = (4 < s < 10) - 1
Trinkets per individual (i) = Trinkets per family (f) - 5
s and g must both evenly go into f.
i is the sought-after variable.
If s = 5 then g = 3.
If Trinkets (t) = 45, then f = 15 and i = 9
If t = 30, then f = 10 and i = 6
If t = 15, then f = 5 and i = 3
If s = 6 then g = 4.
If Trinkets (t) = 96, then f = 24 and i = 16
If t = 60, then f = 15 and i = 10 <-------------------- Possible answer.
If t = 48, then f = 12 and i = 8
If t = 24, then f = 6 and i = 4
If t = 12, then f = 3 and i = 2
If s = 7 then g = 5.
If Trinkets (t) = 35, then f = 7 and i = 5
If t = 70, then f = 14 and i = 10
If t = 105, then f = 21 and i = 15
If s = 8 then g = 6.
If Trinkets (t) = 24, then f = 4 and i = 3
If t = 48, then f = 8 and i = 6
If t = 96, then f = 16 and i = 12
If t = 120, then f = 20 and i = 15 <-------------------- Possible answer.
If s = 9 then g = 7.
If Trinkets (t) = 63, then f = 9 and i = 7
If t = 126, then f = 18 and i = 14
If t = 189, then f = 27 and i = 21
Families (g) = 2 < g < 6
Sisters (s) = 4 < s < 10
Sisters in consideration (c) = (4 < s < 10) - 1
Trinkets per individual (i) = Trinkets per family (f) - 5
s and g must both evenly go into f.
i is the sought-after variable.
If s = 5 then g = 3.
If Trinkets (t) = 45, then f = 15 and i = 9
If t = 30, then f = 10 and i = 6
If t = 15, then f = 5 and i = 3
If s = 6 then g = 4.
If Trinkets (t) = 96, then f = 24 and i = 16
If t = 60, then f = 15 and i = 10 <-------------------- Possible answer.
If t = 48, then f = 12 and i = 8
If t = 24, then f = 6 and i = 4
If t = 12, then f = 3 and i = 2
If s = 7 then g = 5.
If Trinkets (t) = 35, then f = 7 and i = 5
If t = 70, then f = 14 and i = 10
If t = 105, then f = 21 and i = 15
If s = 8 then g = 6.
If Trinkets (t) = 24, then f = 4 and i = 3
If t = 48, then f = 8 and i = 6
If t = 96, then f = 16 and i = 12
If t = 120, then f = 20 and i = 15 <-------------------- Possible answer.
If s = 9 then g = 7.
If Trinkets (t) = 63, then f = 9 and i = 7
If t = 126, then f = 18 and i = 14
If t = 189, then f = 27 and i = 21
MAKE SURE THAT YOU PUT YOUR ANSWER IN SPOILER TAGS IF YOU POST IT.
