Norma earns $22 per hour. She donates 5% of her wages to her favorite charity. If she wants to have at least $748 left after her donation, how many hours (H) must she work? (Round the number of hours up to the next whole hour.)

1 answer

Question:

Norma earns $22 per hour. She donates 5% of her wages to her favorite charity. If she wants to have at least $748 left after her donation, how many hours (H) must she work? (Round the number of hours up to the next whole hour.)

Answer:She must work for at least 36 hoursStep-by-step explanation:* Lets explain how to solve the problem- Norma earns $22 per hour- She donates 5% of her wages to her favorite charity- She wants to have at least $748 left after her donation- We want to find how many hours (H) she must work to have this amount- Assume that she will work for H hours∵ She earns $22 per hour∴ Her wages = 22 × H = 22H- She donates 5% of her wage∴ Her donate = [tex]\frac{5}{100}(22H)=1.1H[/tex]- She wants to have at least $748 left after her donation∵ The money left = her wage - her donate∴ The money left = 22H - 1.1H = 20.9H- She wants to have at least $748∵ The money left ≥ $748∴ 20.9H ≥ 748- Divide both sides by 20.9∴ H ≥ 35.789∴ She must work for at least 36 hours

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