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Heather is a cashier. She can ring up 12 customers in 9 minutes.
At this rate, how many minutes does it take her to ring up 4 customers?
minutes

Heather is a cashier. She can ring up $12$ customers in $9$ minutes. $\newline$ At this rate, how many minutes does it take her to ring up $4$ customers? $\newline$ minutes

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GCF and LCM: word problems

Full solution

Q. Heather is a cashier. She can ring up

12

customers in

9

minutes.

\newline

At this rate, how many minutes does it take her to ring up

4

customers?

\newline

minutes

Determine Rate: Determine the rate at which Heather can ring up customers. Heather can ring up $12$ customers in $9$ minutes. This means her rate is $12$ customers per $9$ minutes.
Calculate Time for One: Calculate the time it takes to ring up one customer. $\newline$ To find the time for one customer, divide the total time by the number of customers. $\newline$ Time for one customer = $\frac{9 \text{ minutes}}{12 \text{ customers}} = 0.75$ minutes per customer.
Calculate Time for $4$ : Calculate the time it takes to ring up $4$ customers. $\newline$ Now, multiply the time for one customer by the number of customers Heather needs to ring up. $\newline$ Time for $4$ customers = $0.75$ minutes/customer $\times 4$ customers = $3$ minutes.

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