Question

a gas station employee monitored the gas sales one day. the data showed that 80% of customers purchased regular gas. of the customers who purchased regular gas, 10% paid in cash, whereas 40% of the customers who did not purchase regular gas paid in cash. what percentage of the customers paid in cash?
48%
20%
16%
50%

Explanation:

Step1: Define total customers as 100

Let total customers = $100$

Step2: Calculate regular gas buyers

Regular gas customers: $0.8 \times 100 = 80$
Non-regular gas customers: $100 - 80 = 20$

Step3: Calculate cash payers (regular)

Cash from regular buyers: $0.1 \times 80 = 8$

Step4: Calculate cash payers (non-regular)

Cash from non-regular buyers: $0.4 \times 20 = 8$

Step5: Total cash payers & percentage

Total cash customers: $8 + 8 = 16$
Percentage: $\frac{16}{100} \times 100\% = 16\%$

Answer:

16%