Question

Find the unit price in cents per diaper for each of the brands shown below. Round to the nearest tenth of a cent.Brand A: 36 Diapers, $ 11.99 ? : ¢ per diaper Brand B: 50 Diapers, $11.49? : ¢ per diaper Note: Rounding to the nearest tenth of a cent is the same as rounding to the nearest thousandth of a dollar.Which is the better buy?

Answer 1

It is required that you find the unit price in cents per diaper.

To do this, convert the prices in dollars to cents by multiplying by 100.

`\begin{gathered} \$11.99=11.99*100\text{ cents} \\ =1199¢ \end{gathered}`
`\begin{gathered} \$11.49=11.49*100\text{ cents} \\ =1149¢ \end{gathered}`

Next, divide the respective prices in cents by the corresponding number of diapers:

For brand A:

`(1199)/(36)\approx33.3¢\text{ per diaper}`

For brand B:

`(1149)/(50)=22.98\approx23.0¢\text{ per diaper}`

Next, notice that Brand B has a lower unit price. Hence, it is the better buy.

Brand B is the better buy,