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Joshua owns a small business selling bagels. He knows that in the last week 39 customers paid cash, 22 customers used a debit card, and 2 customers used a credit card.
If next week, he is expecting 700 customers, about how many would you expect to pay with cash? Round your answer to the nearest whole number.

Joshua owns a small business selling bagels. He knows that in the last week $39$ customers paid cash, $22$ customers used a debit card, and $2$ customers used a credit card. $\newline$ If next week, he is expecting $700$ customers, about how many would you expect to pay with cash? Round your answer to the nearest whole number.

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Full solution

Q. Joshua owns a small business selling bagels. He knows that in the last week

39

customers paid cash,

22

customers used a debit card, and

2

customers used a credit card.

\newline

If next week, he is expecting

700

customers, about how many would you expect to pay with cash? Round your answer to the nearest whole number.

Calculate total customers: Determine the total number of customers from last week and the proportion that paid with cash. $\newline$ Customers who paid with cash last week: $39$ $\newline$ Customers who used a debit card last week: $22$ $\newline$ Customers who used a credit card last week: $2$ $\newline$ Total number of customers last week: $39 + 22 + 2 = 63$
Calculate cash payment proportion: Calculate the proportion of customers who paid with cash. Proportion of cash payments: $\frac{39}{63}$
Estimate cash payments for next week: Apply the proportion of cash payments to the expected number of customers next week to estimate the number of cash payments. $\newline$ Expected number of customers next week: $700$ $\newline$ Expected number of cash payments: $(\frac{39}{63}) \times 700$
Perform calculation for cash payments: Perform the calculation to find the expected number of cash payments. $\newline$ Expected number of cash payments: $(\frac{39}{63}) \times 700 \approx 433.33$
Round expected cash payments: Round the expected number of cash payments to the nearest whole number. $\newline$ Rounded expected number of cash payments: $433$

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