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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?
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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