Math CentralQuandaries & Queries


Question from Jasmine, a student:

a 40in *60 in canvas is sold for $60.00 if the price is determined by the cost of the material what would be the cost of a 10 in * 15 in canvas?

Hi Jasmine.

The material cost is based on the area of the canvas. And the area of the canvas is just the length times the width.

So the ratio between the area of the large piece and the area of the small piece equals the ratio between the price of the large piece and that of the small piece.

In numeric form, if we let P equal the price of the small piece, then:

(40 * 60) / (10 * 15) = (60) / (P)

Solve for P.

Stephen La Rocque.

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