Question

Antonia buys a bag of ten peaches at the local farmer's market. The bag weights 560 grams. (a) What is the weight of the bag of peaches in pounds? (1 pound (lb) = 454 grams (b) The peaches sell for $3.99 per pound, how much does Antonia's bag of peaches cost before taxes? Round answer to 2 decimal places

Answer 1

(a) 1.23 Pounds

(b) $ 4.92

Step-by-step explanation

`\text{weigth}_(bag)=560\text{ grams}`

Step 1

(a) What is the weight of the bag of peaches in pounds?

to convert units, construct a fraction that is equal to 1, multiply the original measurement by that fraction, and simplify.

then

we need to know the equivalence

`1\text{ pound=454 grms}`

we have the given measure in grams, so we need to let the grams in the denominator of the fraction in order to eliminate the grams unit

`\frac{1\text{ Pound}}{454\text{ grams}}=1`

as the fracion equals 1, we are not changing the original measure

so,multiply the original measurement by that fraction, and simplify.

`560\text{ grams}\cdot(\frac{1\text{ Pound}}{454\text{ grams}})=1.233\text{ Pounds}`

therefore, the answer for (a) is

(a)1.23 Pounds

Step 2

The peaches sell for $3.99 per pound, how much does Antonia's bag of peaches cost before taxes?

to solve this , we need to multiply the amount of pounds by the unit price, so

`\text{Cost}=\text{ unit cost}\cdot\text{ number of pounds}`

let

`\begin{gathered} \text{price per pound = \$ 3.99} \\ \text{Number of pounds= 1.233 pounds} \end{gathered}`

Now, replace.

`\begin{gathered} \text{Cost}=\text{ unit cost}\cdot\text{ number of pounds} \\ \text{Cost}=\text{ 3.99}\frac{\text{ \$}}{\text{pound}}\cdot1.233\text{ pound} \\ \text{Cost of bag=4.9215} \\ \text{rounded to 2 decimal places} \\ \text{Cost of bag= \$ 4.92} \end{gathered}`

hence,

(b) $ 4.92

I hope this helps you