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Kaylee owns a small business selling bagels. She knows that in the last week 13 customers paid cash, 32 customers used a debit card, and 53 customers used a credit card.
If next week, she is expecting 1900 customers, about how many would you expect to pay with cash? Round your answer to the nearest whole number.

Kaylee owns a small business selling bagels. She knows that in the last week $13$ customers paid cash, $32$ customers used a debit card, and $53$ customers used a credit card. $\newline$ If next week, she is expecting $1900$ 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. Kaylee owns a small business selling bagels. She knows that in the last week

13

customers paid cash,

32

customers used a debit card, and

53

customers used a credit card.

\newline

If next week, she is expecting

1900

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

Calculate total customers: Calculate the total number of customers from last week and the proportion that paid with cash. $\newline$ Total customers last week = $13$ (cash) + $32$ (debit card) + $53$ (credit card) $\newline$ Total customers last week = $98$ $\newline$ Proportion of customers who paid with cash = $\frac{13}{98}$
Calculate expected cash customers: Calculate the expected number of customers who will pay with cash next week. $\newline$ Expected customers paying with cash $= \text{Proportion of cash customers} \times \text{Total expected customers next week}$ $\newline$ Expected customers paying with cash $= \left(\frac{13}{98}\right) \times 1900$
Perform calculation for cash customers: Perform the calculation to find the expected number of cash customers. $\newline$ Expected customers paying with cash $= (\frac{13}{98}) \times 1900$ $\newline$ Expected customers paying with cash $\approx 253.06$
Round expected cash customers: Round the answer to the nearest whole number. $\newline$ Expected customers paying with cash $\approx 253$

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