Question

The cost of cloth is directly proportional to the length. A 3.2-metre length of cloth costs $38

Work out the cost of a 2.4-metre length of cloth.

Answer 1

Answer:

$x = \ 28.5$

Step-by-step explanation:

Given

Variation: Direct Proportion

$3.2m = \ 38$

Required

Determine the cost of 2.4m length

Represent the cost of 2.4m length with x

So, we have:

$3.2m = \ 38$

and

$2.4m = x$

Cross Multiply:

$3.2m * x = \ 38 * 2.4m$

$3.2 * x = \ 38 * 2.4$

Solve for x

$x = \frac{\ 38 * 2.4}{3.2}$

$x = \frac{\ 91.2}{3.2}$

$x = \ 28.5$

Hence, the cost of 2.4m length is $28.5