Question

It costs a family $348.00 to buy a 15-ft-by-16-ft rug. If the cost is proportional to the area,
what will it cost the family to buy a 10-ft-by-11-ft rug?
$89.66
$188.50
$240.00
$159.50

Answer 1

The cost of the family rug with dimensions 10-ft-by-11-ft given a proportional relationship is $159.50

How to solve using ratio?

Cost = $348.00

Area of rug = length × width

= 15 ft × 16 ft

= 240 square feet

Cost of a new rug = x

Area = length × width

= 10 ft × 11 ft

= 110 square feet

• Equate the ratio of cost to area of both rugs

348 : 240 = x : 110

348/240 = x/110

cross product

348 × 110 = 240 × x

38,280 = 240x

x = 38,280 / 240

x = $159.50

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