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

`x = \$28.5`

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 = (\$38 * 2.4)/(3.2)`

`x = (\$91.2)/(3.2)`

`x = \$28.5`

Hence, the cost of 2.4m length is $28.5