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class A folds 160 fewer paper cranes than class B and 2/3 as many paper cranes as class C. Class B folds 92 more paper cranes than class C. How many paper cranes does class B fold?



Answer :

WashablePotatoes
Let x = Class A
Let y = Class B
Let z = Class C
Equations from problem:
x - 160 = y
2/3x = z
y + 92 = z
Solving through substitution:
2/3x = y + 92
2/3x = (x - 160) + 92
2/3x = x - 68
-1/3x = -68
3(-1/3x) = 3(-68)
-x = -204
x = 204
Now substitute x in the first equation to get y:
204 - 160 = y
44 = y
44 = Class B
There are 44  folded paper cranes in Class B.

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