20244

Question

{{{question}}}

Worked Solution

{{{workedSolution}}}

Variant 0

DifficultyLevel

579

Question

Brin works part time in a coffee shop.

On weekends, he earns 1.5 times as much per hour as he earns on weekdays.

One week, he works 9 hours on a weekday and 4 hours on the weekend.

His pay for the week was $270.

How much does he earn in 1 hour on a weekday?

Worked Solution

Let  x\ \large x = pay per hour on a weekday
9x\large x + (4 ×\times 1.5x\large x) = $270
15x\large x = 270
x\large x = 270 ÷\div 15
= $18.00

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Brin works part time in a coffee shop. On weekends, he earns 1.5 times as much per hour as he earns on weekdays. One week, he works 9 hours on a weekday and 4 hours on the weekend. His pay for the week was \$270. How much does he earn in 1 hour on a weekday?
workedSolution
Let $\ \large x$ = pay per hour on a weekday
| | | | --------------------: | ---------------------- | | 9$\large x$ + (4 $\times$ 1.5$\large x$) | \= \$270 | | 15$\large x$ | \= 270 | | $\large x$ | \= 270 $\div$ 15 | | | \= {{{correctAnswer}}} |
correctAnswer
\$18.00

Answers

Is Correct?Answer
x

$12.00

x

$16.00

✓

$18.00

x

$20.50

Variant 1

DifficultyLevel

581

Question

Betty works part time in a clothing shop.

On weekends, she earns 2 times as much per hour as she earns on weekdays.

One week, she works 15 hours on weekdays and 3 hours on the weekend.

Her pay for the week was $367.50.

How much does she earn in 1 hour on a weekday?

Worked Solution

Let  x\ \large x = pay per hour on a weekday
15x\large x + (3 ×\times 2x\large x) = $367.50
21x\large x = 367.50
x\large x = 367.50 ÷\div 21
= $17.50

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Betty works part time in a clothing shop. On weekends, she earns 2 times as much per hour as she earns on weekdays. One week, she works 15 hours on weekdays and 3 hours on the weekend. Her pay for the week was \$367.50. How much does she earn in 1 hour on a weekday?
workedSolution
Let $\ \large x$ = pay per hour on a weekday
| | | | --------------------: | ---------------------- | | 15$\large x$ + (3 $\times$ 2$\large x$) | \= \$367.50 | | 21$\large x$ | \= 367.50 | | $\large x$ | \= 367.50 $\div$ 21 | | | \= {{{correctAnswer}}} |
correctAnswer
\$17.50

Answers

Is Correct?Answer
✓

$17.50

x

$20.42

x

$24.50

x

$61.25

Variant 2

DifficultyLevel

577

Question

Clay has a casual job at the local movie cinema.

On weekends, he earns 1.5 times as much per hour as he earns on weekdays.

One week, he works 20 hours on weekdays and 6 hours on the weekend.

His pay for the week was $498.80.

How much does he earn in 1 hour on a weekday?

Worked Solution

Let  x\ \large x = pay per hour on a weekday
20x\large x + (6 ×\times 1.5x\large x) = $498.80
29x\large x = 498.80
x\large x = 498.80 ÷\div 29
= $17.20

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Clay has a casual job at the local movie cinema. On weekends, he earns 1.5 times as much per hour as he earns on weekdays. One week, he works 20 hours on weekdays and 6 hours on the weekend. His pay for the week was \$498.80. How much does he earn in 1 hour on a weekday?
workedSolution
Let $\ \large x$ = pay per hour on a weekday
| | | | --------------------: | ---------------------- | | 20$\large x$ + (6 $\times$ 1.5$\large x$) | \= \$498.80 | | 29$\large x$ | \= 498.80 | | $\large x$ | \= 498.80 $\div$ 29 | | | \= {{{correctAnswer}}} |
correctAnswer
\$17.20

Answers

Is Correct?Answer
x

$12.79

✓

$17.20

x

$19.18

x

$24.94

Variant 3

DifficultyLevel

574

Question

Fleur works part time in a flower shop.

On weekends, she earns 2 times as much per hour as she earns on weekdays.

One week, she works 23 hours on weekdays and 1.5 hours on the weekend.

Her pay for the week was $351.

How much does she earn in 1 hour on a weekday?

Worked Solution

Let  x\ \large x = pay per hour on a weekday
23x\large x + (1.5 ×\times 2x\large x) = $351
26x\large x = 351
x\large x = 351 ÷\div 26
= $13.50

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Fleur works part time in a flower shop. On weekends, she earns 2 times as much per hour as she earns on weekdays. One week, she works 23 hours on weekdays and 1.5 hours on the weekend. Her pay for the week was \$351. How much does she earn in 1 hour on a weekday?
workedSolution
Let $\ \large x$ = pay per hour on a weekday
| | | | --------------------: | ---------------------- | | 23$\large x$ + (1.5 $\times$ 2$\large x$) | \= \$351 | | 26$\large x$ | \= 351 | | $\large x$ | \= 351 $\div$ 26 | | | \= {{{correctAnswer}}} |
correctAnswer
\$13.50

Answers

Is Correct?Answer
x

$19.50

x

$15.26

x

$14.32

✓

$13.50

Variant 4

DifficultyLevel

576

Question

Bodhi works part time in a surf shop.

On weekends, he earns 1.5 times as much per hour as he earns on weekdays.

One week, he works 7.5 hours on weekdays and 3 hours on the weekend.

His pay for the week was $150.

How much does he earn in 1 hour on a weekday?

Worked Solution

Let  x\ \large x = pay per hour on a weekday
7.5x\large x + (1.5 ×\times 3x\large x) = $150
12x\large x = 150
x\large x = 150 ÷\div 12
= $12.50

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Bodhi works part time in a surf shop. On weekends, he earns 1.5 times as much per hour as he earns on weekdays. One week, he works 7.5 hours on weekdays and 3 hours on the weekend. His pay for the week was \$150. How much does he earn in 1 hour on a weekday?
workedSolution
Let $\ \large x$ = pay per hour on a weekday
| | | | --------------------: | ---------------------- | | 7.5$\large x$ + (1.5 $\times$ 3$\large x$) | \= \$150 | | 12$\large x$ | \= 150 | | $\large x$ | \= 150 $\div$ 12 | | | \= {{{correctAnswer}}} |
correctAnswer
\$12.50

Answers

Is Correct?Answer
x

$9.52

✓

$12.50

x

$14.29

x

$20.00

Variant 5

DifficultyLevel

575

Question

Aurora works part time in a donut shop.

On weekends, she earns 2.5 times as much per hour as she earns on weekdays.

One week, she works 14.5 hours on weekdays and 3 hours on the weekend.

Her pay for the week was $319.

How much does she earn in 1 hour on a weekday?

Worked Solution

Let  x\ \large x = pay per hour on a weekday
14.5x\large x + (2.5 ×\times 3x\large x) = $319
22x\large x = 319
x\large x = 319 ÷\div 22
= $14.50

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Aurora works part time in a donut shop. On weekends, she earns 2.5 times as much per hour as she earns on weekdays. One week, she works 14.5 hours on weekdays and 3 hours on the weekend. Her pay for the week was \$319. How much does she earn in 1 hour on a weekday?
workedSolution
Let $\ \large x$ = pay per hour on a weekday
| | | | --------------------: | ---------------------- | | 14.5$\large x$ + (2.5 $\times$ 3$\large x$) | \= \$319 | | 22$\large x$ | \= 319 | | $\large x$ | \= 319 $\div$ 22 | | | \= {{{correctAnswer}}} |
correctAnswer
\$14.50

Answers

Is Correct?Answer
x

$22

x

$18.23

x

$15.95

✓

$14.50

Tags

  • ms_ca