Chapter 5.2, Problem 7GP

To determine

Tofind: Thename of the brand which offers best price among the given brands.

Answer to Problem 7GP

Mr. Nut is offering the best price.

Explanation of Solution

Given information:

The prices of several different brands of peanuts is shown below.

Peanuts
Brand	Size (oz)	Price
Barrel	10	$\$3.39$
Mr. Nut	14	$\$4.54$
Chip’s	18	$\$6.26$

Calculation:

A rate is defined as the ratio of two quantities with different rates.

To find the name of the brand, which is to best to buy, find price per ounce for each brand.

Write the rate that compares price to ounce for Barrel.

  $\frac{\$3.39}{10\text{oz}}$

To convert the rate as a unit rate, divide the numerator and the numerator by 10.

  $\begin{array}{c}\frac{\$3.39}{10\text{oz}}=\frac{\frac{\$3.39}{10}}{\frac{10}{10}}\\ =\frac{\$0.34}{1\text{ounce}}\end{array}$

Similarly,

Write the rate that compares price to ounce for Mr. Nut.

  $\frac{\$4.54}{14\text{oz}}$

To convert the rate as a unit rate, divide the numerator and the numerator by 14.

  $\begin{array}{c}\frac{\$4.54}{14\text{oz}}=\frac{\frac{\$4.54}{14}}{\frac{14}{14}}\\ =\frac{\$0.32}{1\text{ounce}}\end{array}$

Similarly,

Write the rate that compares price to ounce forChip’s.

  $\frac{\$6.26}{18\text{oz}}$

To convert the rate as a unit rate, divide the numerator and the numerator by 18.

  $\begin{array}{c}\frac{\$6.26}{18\text{oz}}=\frac{\frac{\$4.54}{18}}{\frac{18}{18}}\\ =\frac{\$0.35}{1\text{ounce}}\end{array}$

From the above, it is clear that Mr. Nut is offering $\$0.32$ per ounce of peanuts in comparison to Barrel and Chip’s.

Therefore, Mr. Nut is offering the best price.