Cindy is a hostess at a country club on the
weekends. She worked hours on Friday
night and hours on Saturday. If she earned
a total of this weekend and is paid the
same amount each hour she works, how much
does she earn per hour?

Ask by Daniels Ramirez. in the United States

Mar 21,2025

Question

Cindy is a hostess at a country club on the
weekends. She worked hours on Friday
night and hours on Saturday. If she earned
a total of this weekend and is paid the
same amount each hour she works, how much
does she earn per hour?

Ask by Daniels Ramirez. in the United States

Mar 21,2025

UpStudy AI · Accepted Answer

1. Convert the mixed numbers to improper fractions.

- Friday:  
     $$
     3\frac{1}{3} = 3 + \frac{1}{3} = \frac{9}{3} + \frac{1}{3} = \frac{10}{3}
     $$
   
   - Saturday:  
     $$
     5\frac{5}{12} = 5 + \frac{5}{12} = \frac{60}{12} + \frac{5}{12} = \frac{65}{12}
     $$

2. Find the total number of hours worked.

- Express $$\frac{10}{3}$$ with a denominator of 12:
     $$
     \frac{10}{3} = \frac{10 \times 4}{3 \times 4} = \frac{40}{12}
     $$
   
   - Sum the hours:
     $$
     \text{Total hours} = \frac{40}{12} + \frac{65}{12} = \frac{105}{12}
     $$

3. Compute the hourly rate.

- Let the hourly rate be $$r$$. Since Cindy earned a total of $$\$105$$ over $$\frac{105}{12}$$ hours:
     $$
     r \times \frac{105}{12} = 105
     $$
   
   - Solve for $$r$$:
     $$
     r = \frac{105}{\frac{105}{12}} = 105 \times \frac{12}{105} = 12
     $$

Cindy earns $$\$12$$ per hour.
Cindy earns \$12 per hour.

Cindy is a hostess at a country club on the
weekends. She worked hours on Friday
night and hours on Saturday. If she earned
a total of this weekend and is paid the
same amount each hour she works, how much
does she earn per hour?

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Cindy is a hostess at a country club on the weekends. She worked hours on Friday night and hours on Saturday. If she earned a total of this weekend and is paid the same amount each hour she works, how much does she earn per hour?

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Solución

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preguntas relacionadas

Latest Arithmetic Questions

Cindy is a hostess at a country club on the
weekends. She worked hours on Friday
night and hours on Saturday. If she earned
a total of this weekend and is paid the
same amount each hour she works, how much
does she earn per hour?