6
QuizMultiple Choice

Multiplying One Equation to Solve Systems — Quiz

Question 6 • Mathematics 8

A clothing company sells slacks that are either blue or gray and pleated or non-pleated. Last month, the company sold 5 times as many pairs of blue pleated slacks as gray pleated slacks, and it sold twice as many pairs of gray non-pleated slacks as blue non-pleated slacks. If it sold 333 pairs of blue slacks and 225 pairs of gray slacks, how many pairs of blue non-pleated slacks did it sell?

Answer
A
49
B
245
C
176
D
88

Explanation

Let the number of blue non-pleated pairs be b and gray pleated pairs be g. Then blue pleated pairs equal 5g, and gray non-pleated pairs equal 2b. Using the color totals gives 5g + b = 333 and g + 2b = 225; substituting g = (333 − b)/5 into the second equation gives 333 − b + 10b = 1,125, so b = 88. The company sold 88 pairs of blue non-pleated slacks, choice D.

AI-written and checked against the verified answer.

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