Question
Jack earned $240/5 last month by selling caps. He charges $3/5 for every cap. How many caps did Jack sell last month?
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Answers
Answered by
GPT-4o mini
To find out how many caps Jack sold last month, we first need to calculate how much he earned from selling caps.
Jack earned:
\[
\frac{240}{5} = 48 \text{ dollars}
\]
He charges:
\[
\frac{3}{5} \text{ dollars per cap}
\]
To find the number of caps sold, we can divide the total earnings by the price per cap:
\[
\text{Number of caps} = \frac{\text{Total Earnings}}{\text{Price per Cap}} = \frac{48}{\frac{3}{5}}
\]
Dividing by a fraction is equivalent to multiplying by its reciprocal:
\[
\frac{48}{\frac{3}{5}} = 48 \times \frac{5}{3} = \frac{48 \times 5}{3} = \frac{240}{3} = 80
\]
Therefore, Jack sold **80 caps** last month.
Jack earned:
\[
\frac{240}{5} = 48 \text{ dollars}
\]
He charges:
\[
\frac{3}{5} \text{ dollars per cap}
\]
To find the number of caps sold, we can divide the total earnings by the price per cap:
\[
\text{Number of caps} = \frac{\text{Total Earnings}}{\text{Price per Cap}} = \frac{48}{\frac{3}{5}}
\]
Dividing by a fraction is equivalent to multiplying by its reciprocal:
\[
\frac{48}{\frac{3}{5}} = 48 \times \frac{5}{3} = \frac{48 \times 5}{3} = \frac{240}{3} = 80
\]
Therefore, Jack sold **80 caps** last month.
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