Question

olivia works 4 hours more each week than her coworker lily. olivia works a total of 32 hours every 2 weeks. how many hours each week does lily work? 12 hours 14 hours 18 hours 20 hours

Explanation:

Step1: Find Olivia's weekly hours

Olivia works 32 hours every 2 weeks. To find her weekly hours, divide total hours by 2: $\frac{32}{2} = 16$ hours per week.

Step2: Find Lily's weekly hours

Olivia works 4 hours more than Lily each week. So Lily's hours = Olivia's hours - 4: $16 - 4 = 12$? Wait, no, wait—wait, 32 over 2 is 16. Then Lily is 16 - 4? Wait, no, the options have 12,14,18,20. Wait, maybe I miscalculated. Wait, Olivia works 32 hours every 2 weeks, so per week: 32/2 = 16. Olivia works 4 hours more than Lily, so Lily works 16 - 4 = 12? But let's check again. Wait, maybe the problem is: Olivia works 4 hours more each week than Lily. Olivia's total in 2 weeks is 32. So Olivia's weekly is 32/2 = 16. Then Lily's weekly is 16 - 4 = 12. But the first option is 12 hours. Wait, but let me confirm.
Wait, maybe I made a mistake. Wait, the problem says "Olivia works 4 hours more each week than her coworker Lily. Olivia works a total of 32 hours every 2 weeks. How many hours each week does Lily work?"
So Olivia's weekly hours: 32 hours / 2 weeks = 16 hours per week.
Olivia works 4 hours more than Lily, so Lily's hours = Olivia's hours - 4 = 16 - 4 = 12 hours per week. So the answer should be 12 hours, which is the first option.

Answer:

A. 12 hours