Question

Diane Samson earns $15.10 per hour with time-and-a-half (for hours worked beyond 40 hours each week). Last week, she worked 52 hours. If she spends 16% of her income on food, how much did she spend on food that week?

Answer 1

Diane Samson worked for 52 hours at $15.10 per hour, with time-and-a-half for the 12 overtime hours. Her total earnings were $875.80, and she spent 16% of this amount, which is $140.13, on food.

Step-by-step explanation:

To solve how much Diane Samson spent on food last week, we need to calculate her total earnings and then find 16% of that amount as it represents her food expenses. Diane works at $15.10 per hour and last week she worked 52 hours. Her overtime hours are calculated with time-and-a-half for every hour over 40 hours. So, here's the breakdown:

• 
  
• Regular hours (40 hours) at $15.10 per hour
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• Overtime hours (12 hours) at $15.10 * 1.5 per hour

We calculate the earnings for regular and overtime hours separately and then add them together:

• 
  
• Regular earnings: 40 hours * $15.10 = $604
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• Overtime earnings: 12 hours * $15.10 * 1.5 = $271.80
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• Total earnings: $604 + $271.80 = $875.80

Now we take 16% of her total earnings to find out how much she spent on food:

Food expenses = 16% of $875.80 = 0.16 * 875.80 = $140.13

Diane Samson spent $140.13 on food last week.