Question

A 9-yard roll of string costs $3.42. What is the unit price?

Answer 1

Step 1

Given; A 9-yard roll of string that costs $3.42.

Required; To find the unit price

Step 2

Convert $3.42 to cents

$\begin{gathered} 1\text{ dollar = 100 cents} \\ \text{Therefore,} \\ \text{\ }3.42=3.42\text{ }\times100=342\text{ cents} \end{gathered}$

Step 3

Find the unit price

$\begin{gathered} \frac{9\text{ yard}}{1\text{ yard}}=\frac{342cents}{x\text{ cents}} \\ 9x=342 \\ \frac{9x}{9}=\frac{342}{9} \\ x=\text{ 38cents} \\ \text{convert to dollars} \\ x=\text{\ }\frac{38}{100} \\ x=\text{\ }0.38\text{ per yard} \end{gathered}$

Hence the unit price = $0.38 per yard