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Casho owns a small business selling ice-cream. She knows that in the last week 24 customers paid cash, 14 customers used a debit card, and 23 customers used a credit card.
If next week, she is expecting 300 customers, about how many would you expect to pay with cash? Round your answer to the nearest whole number.
Answer:

Casho owns a small business selling ice-cream. She knows that in the last week $24$ customers paid cash, $14$ customers used a debit card, and $23$ customers used a credit card. $\newline$ If next week, she is expecting $300$ customers, about how many would you expect to pay with cash? Round your answer to the nearest whole number. $\newline$ Answer:

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Full solution

Q. Casho owns a small business selling ice-cream. She knows that in the last week

24

customers paid cash,

14

customers used a debit card, and

23

customers used a credit card.

\newline

If next week, she is expecting

300

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

\newline

Answer:

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: $24$ $\newline$ Customers who used a debit card last week: $14$ $\newline$ Customers who used a credit card last week: $23$ $\newline$ Total number of customers from last week: $24 + 14 + 23 = 61$
Calculate Probability: Calculate the probability that a customer will pay with cash based on last week's data. $\newline$ Probability (Paying with cash) = $\frac{\text{Number of customers who paid with cash}}{\text{Total number of customers}}$ $\newline$ Probability (Paying with cash) = $\frac{24}{61}$
Estimate Customers Next Week: Use the probability to estimate the number of customers who will pay with cash next week. $\newline$ Expected number of customers paying with cash $=$ Probability (Paying with cash) $\times$ Total expected customers next week $\newline$ Expected number of customers paying with cash $= (\frac{24}{61}) \times 300$
Perform Calculation: Perform the calculation to find the expected number of customers paying with cash. Expected number of customers paying with cash $\approx (\frac{24}{61}) \times 300 \approx 118.03$
Round to Nearest Whole Number: Round the answer to the nearest whole number as the question asks for an estimate. $\newline$ Expected number of customers paying with cash $\approx 118$ (rounded to the nearest whole number)

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