Question

• finally, cancel units. since dollars are divided by dollars, and cents are divided by cents, both of these units can be canceled. multiplying through gives the final result: \\(\left(\frac{3432.35 \text{ dollars}}{1}\

ight)\left(\frac{100 \text{ cents}}{1 \text{ dollar}}\
ight)\left(\frac{1 \text{ nickel}}{5 \text{ cents}}\
ight) = 68,647 \text{ nickels}\\)
you wash dishes for a laboratory to make extra money to pay for your laundry. you earn 6 dollars/hour, and each shift lasts 75 minutes. your laundry requires quarters/load.

part a

how many shifts must you work if you wish to wash 10 loads of laundry?
express your answer numerically as an integer.

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shifts

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Explanation:

Step1: Calculate laundry cost total

10 loads $\times \frac{4 \text{ quarters}}{1 \text{ load}} = 40$ quarters
Convert quarters to dollars: $40 \text{ quarters} \times \frac{1 \text{ dollar}}{4 \text{ quarters}} = 10$ dollars

Step2: Calculate earnings per shift

Convert shift time to hours: $75 \text{ minutes} \times \frac{1 \text{ hour}}{60 \text{ minutes}} = 1.25$ hours
Earnings per shift: $1.25 \text{ hours} \times \frac{6 \text{ dollars}}{1 \text{ hour}} = 7.5$ dollars

Step3: Calculate number of shifts

Number of shifts = $\frac{\text{Total required dollars}}{\text{Earnings per shift}} = \frac{10}{7.5} \approx 1.33$
Since you can't work a fraction of a shift, round up to the next integer.

Answer:

2