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kherson
1 month ago
5

To babysit one child, Fernando charges $10 to drive to the appointment plus $4 per hour. He saves 30% of the total amount he ear

ns. Brenna charges $6 per hour and saves 25% of the total amount she earns. Which equation can be used to determine the number of hours, h, after which Fernando and Brenna will have saved the same amount of money?
Mathematics
2 answers:
tester [11K]1 month ago
4 0
Answer: 10 hours

Explanation:

1) Fernando's total earnings:

10 + 4h ← Here, 10 indicates a fixed fee, h represents hours worked, and 4 signifies hourly pay

2) Savings for Fernando

0.30 (10 + 4h) ← 30% = 30 / 100 = 0.3

3 + 1.2h ← applying the distributive property

4) Earnings for Brenna

6h ← h denotes hours worked, with 6 as the hourly rate

5) Brenna's savings

0.25(6h) ← 25% = 25/100 = 0.25

1.5h ←0.25 multiplied by 6 equals 1.5

6) Balancing savings

3 + 1.2h = 1.5h

1.5h - 1.2h = 3 ← rearranging terms

0.3h = 3 ← consolidating similar terms

h = 3 / 0.3 = 10 ← dividing by 0.3

Final Answer: h = 10
Inessa [11.3K]1 month ago
4 0

Answer:

(C) 0.3(10 + 4h) = 0.25(6h)

Please hit the THANKS button.

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