During their summer break from school. Hortencia and Alex decide to paint houses to earn money. Hortencia charges a flat rate of $350 per house that she paints, while Alex charges an hourly fee of $18 per hour. If both Hortencia and Alex paint one house this week, what is the least number of hours that Alex must paint in order to make more money than Hortencia?

Question

Lauren Mills

Mathematics

13 October, 08:47

During their summer break from school. Hortencia and Alex decide to paint houses to earn money. Hortencia charges a flat rate of $350 per house that she paints, while Alex charges an hourly fee of $18 per hour. If both Hortencia and Alex paint one house this week, what is the least number of hours that Alex must paint in order to make more money than Hortencia?

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Answers (1)

Know the Answer?

Braeden Bates · Answer 1

The answer to your question is: 20 hours.

Step-by-step explanation:

Data

Hortencia = $350

Alex $18 / h

# hours Alex must paint to make more money than Hortencia = ?

Process

Equation 18 x n > 350

n > 350 / 18

n > 19.4 hours

If Alex work 19.4 hours, he will make the same amount of money than Hortencia, then He needs to work 20 hours.