Question

Find the unit price. Then determine which was the best buy. 1) paper: 100 sheets for $ 0.99 500 sheets for $ 4.29 2) peanuts: 1 pound for $ 1.29 12 ounces for $ 0.95

Answer 1

(1)500 sheets for $ 4.29, Unit Price=$0.00858 per sheet

(2)12 ounces for $0.95, Unit Price = $1.27 per pound

Step-by-step explanation:

Part 1

`\begin{gathered} 100\text{ sheets for \$0.99} \\ \text{Unit Price=}\frac{\text{0.99}}{100}=\$0.0099\text{ per sheet} \\ 500\text{ sheets for \$4.29} \\ \text{Unit Price=}\frac{\text{4.29}}{500}=\$0.00858\text{ per sheet} \end{gathered}`

The unit price for 500 sheets for $4.29 is lower, therefore, it is the best buy.

Part 2

1 pound for $ 1.29

`\begin{gathered} \text{Unit Price=}(\$1.29)/(1) \\ =\$1.29\text{ per pound} \end{gathered}`

12 ounces for $ 0.95​

To compare, both must be in the same unit.

`\begin{gathered} 16\text{ ounces = 1 pound} \\ 12\text{ ounces = 12}*(1)/(16)=0.75\text{ pounds} \end{gathered}`

Therefore, the unit price:

`\begin{gathered} \text{Unit Price=}(\$0.95)/(0.75) \\ =\$1.27\text{ per pound} \end{gathered}`

Therefore, 12 ounces for $0.95​ is a better buy.