Question

At a sporting goods store, jay paid $172 for a pair
of shoes and a pair of pants. the pants cost less
than two thirds of what the shoes cost. what is the
minimum price of the shoes to the nearest dollar?

Answer 1

Minimum price of the shoes to the nearest dollar = $103.

As given in the question,

Total price paid for a pair of shoes and a pair of pants = $172

Let x and y represents price paid for shoes and  pants respectively.

As per condition,

x+ y = 172 ________(1)

y = (2/3)x  ________(2)

Substitute value (2) in (1)

x + (2/3)x = 172

⇒ 3x+2x = 172 × 3

⇒5x = 516

⇒x≈103 (nearest integer)

Therefore, minimum price of the shoes to the nearest dollar = $103.

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