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7. You are selling tickets to a play. Each ticket costs [tex]$17 \frac{3}{4}$[/tex] dollars. You sell tickets to 45 people. How much money, in dollars, did you receive from selling these tickets?

A. [tex]$798 \frac{3}{4}$[/tex]
B. 799
C. [tex]$799 \frac{1}{4}$[/tex]
D. [tex]$799 \frac{1}{2}$[/tex]
E. [tex]$799 \frac{3}{4}$[/tex]

8. You are a film reviewer. Each film you are reviewing this week is [tex]$2 \frac{1}{4}$[/tex] hours long. This week, you watch 8 films. How many hours did you spend watching these films?

A. 17
B. [tex]$17 \frac{1}{4}$[/tex]
C. [tex]$17 \frac{1}{2}$[/tex]
D. [tex]$17 \frac{3}{4}$[/tex]
E. 18

9. You are at a concert. Each song the band plays is [tex]$3 \frac{1}{2}$[/tex] minutes. The band plays 25 songs. How long, in minutes, was the concert?

A. 86
B. [tex]$86 \frac{1}{2}$[/tex]
C. 87
D. [tex]$87 \frac{1}{2}$[/tex]
E. 88

10. You are a runner. Every day, you run [tex]$4 \frac{1}{2}$[/tex] miles. How many miles do you run each week (7 days)?

A. 31
B. [tex]$31 \frac{1}{2}$[/tex]
C. 32
D. [tex]$32 \frac{1}{2}$[/tex]
E. 33

11. You work in an office. You are paid [tex]$22 \frac{3}{4}$[/tex] dollars for each hour of work you complete. This week, you worked for 40 hours. How much money, in dollars, did you make during this week of work?

A. 800
B. [tex]$855 \frac{1}{4}$[/tex]
C. [tex]$876 \frac{3}{4}$[/tex]
D. [tex]$900 \frac{1}{4}$[/tex]
E. 910

12. You are an English teacher. It takes you [tex]$1 \frac{1}{6}$[/tex] hours to grade your students' final essays. You have 29 essays to grade. How long will it take you to grade these essays?

A. [tex]$33 \frac{5}{6}$[/tex]
B. 34
C. [tex]$34 \frac{1}{6}$[/tex]
D. [tex]$34 \frac{1}{3}$[/tex]
E. [tex]$34 \frac{1}{2}$[/tex]

Answer :

Sure! Let's go through each problem one by one and explain how to solve them:

Problem 7:
- What is being calculated? We need to find out the total amount of money received from selling tickets.
- Info provided: Each ticket costs [tex]\(17 \frac{3}{4}\)[/tex] dollars, and tickets were sold to 45 people.
- Solution steps:
1. Convert [tex]\(17 \frac{3}{4}\)[/tex] to a decimal, which is 17.75 dollars.
2. Multiply 17.75 by 45 to find the total money received.
3. The result is [tex]$798.75$[/tex], which matches option A.

Problem 8:
- What is being calculated? The total hours spent reviewing films.
- Info provided: Each film is [tex]\(2 \frac{1}{4}\)[/tex] hours, and 8 films were reviewed.
- Solution steps:
1. Convert [tex]\(2 \frac{1}{4}\)[/tex] to a decimal, which is 2.25 hours.
2. Multiply 2.25 by 8 to find the total hours spent.
3. The result is 18 hours, matching option E.

Problem 9:
- What is being calculated? The total length of the concert in minutes.
- Info provided: Each song is [tex]\(3 \frac{1}{2}\)[/tex] minutes, and the band played 25 songs.
- Solution steps:
1. Convert [tex]\(3 \frac{1}{2}\)[/tex] to a decimal, which is 3.5 minutes.
2. Multiply 3.5 by 25 to find the concert's total length.
3. The result is 87.5 minutes, which matches option D.

Problem 10:
- What is being calculated? The total miles run in a week.
- Info provided: You run [tex]\(4 \frac{1}{2}\)[/tex] miles every day for 7 days.
- Solution steps:
1. Convert [tex]\(4 \frac{1}{2}\)[/tex] to a decimal, which is 4.5 miles.
2. Multiply 4.5 by 7 to find the total miles run.
3. The result is 31.5 miles, matching option B.

Problem 11:
- What is being calculated? Total earnings for a week of work.
- Info provided: Paid [tex]\(22 \frac{3}{4}\)[/tex] dollars per hour, and worked for 40 hours.
- Solution steps:
1. Convert [tex]\(22 \frac{3}{4}\)[/tex] to a decimal, which is 22.75 dollars.
2. Multiply 22.75 by 40 for total earnings.
3. The result is $910.00, matching option E.

Problem 12:
- What is being calculated? The total time taken to grade essays.
- Info provided: It takes [tex]\(1 \frac{1}{6}\)[/tex] hours per essay, and there are 29 essays.
- Solution steps:
1. Convert [tex]\(1 \frac{1}{6}\)[/tex] to a decimal, which is approximately 1.1667 hours.
2. Multiply 1.1667 by 29 for total grading time.
3. The result is approximately 33.83 hours, matching option A if we convert it to [tex]\(33 \frac{5}{6}\)[/tex].

I hope this detailed explanation helps! Let me know if you have any more questions.

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