20278

Question

{{{question}}}

Worked Solution

{{{workedSolution}}}

Variant 0

DifficultyLevel

582

Question

Sandy works part time in a shoe shop.

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

One week, she works 2 hours on a weekday and 2 hours on the weekend.

Her pay for the week was $80.

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

Worked Solution

Let x\large x = pay per hour on a weekday
2x\large x + (2 × 1.5x\times\ 1.5\large x) = 80
2x\large x + 3x\large x = 80
5x\large x = 80
∴x\therefore\large x = 805\dfrac{80}{5}
= $16.00

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Sandy works part time in a shoe shop. On weekends, she earns 1.5 times as much per hour as she earns on weekdays. One week, she works 2 hours on a weekday and 2 hours on the weekend. Her pay for the week was \$80. How much does she earn in 1 hour on a weekday?
workedSolution
sm_nogap Let $\large x$ = pay per hour on a weekday
| | | | -----------------------------------------: | ---------------------- | | 2$\large x$ + (2 $\times\ 1.5\large x$) | \= 80 | | 2$\large x$ + 3$\large x$ | \= 80 | | 5$\large x$ | \= 80 | | $\therefore\large x$ | \= $\dfrac{80}{5}$ | | | \= {{{correctAnswer}}} |
correctAnswer
\$16.00

Answers

Is Correct?Answer
x

$12.00

✓

$16.00

x

$20.00

x

$20.50

Variant 1

DifficultyLevel

588

Question

Blenham works part time in a bakery.

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

One week, he works 4 hours on a weekday and 2 hours on the weekend.

His pay for the week was $151.20

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

Worked Solution

Let x\large x = pay per hour on a weekday
4x\large x + (2 × 2.5x\times\ 2.5\large x) = 151.20
4x\large x + 5x\large x = 151.20
9x\large x = 151.20
∴x\therefore\large x = 151.209\dfrac{151.20}{9}
= $16.80

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Blenham works part time in a bakery. On weekends, he earns 2.5 times as much per hour as he earns on weekdays. One week, he works 4 hours on a weekday and 2 hours on the weekend. His pay for the week was \$151.20 How much does he earn in 1 hour on a weekday?
workedSolution
sm_nogap Let $\large x$ = pay per hour on a weekday
| | | | -----------------------------------------: | ---------------------- | | 4$\large x$ + (2 $\times\ 2.5\large x$) | \= 151.20 | | 4$\large x$ + 5$\large x$ | \= 151.20 | | 9$\large x$ | \= 151.20 | | $\therefore\large x$ | \= $\dfrac{151.20}{9}$ | | | \= {{{correctAnswer}}} |
correctAnswer
\$16.80

Answers

Is Correct?Answer
✓

$16.80

x

$17.80

x

$25.20

x

$60.50

Variant 2

DifficultyLevel

586

Question

Nicole works part time in a movie cinema.

On public holidays, she earns 3 times as much per hour as she earns on normal weekdays.

One week, she works 6 hours on a normal weekday and 4 hours on a public holiday.

Her pay for the week was $450.

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

Worked Solution

Let x\large x = pay per hour on a weekday
6x\large x + (4 × 3x\times\ 3\large x) = 450
6x\large x + 12x\large x = 450
18x\large x = 450
∴x\therefore\large x = 45018\dfrac{450}{18}
= $25.00

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Nicole works part time in a movie cinema. On public holidays, she earns 3 times as much per hour as she earns on normal weekdays. One week, she works 6 hours on a normal weekday and 4 hours on a public holiday. Her pay for the week was $450. How much does she earn in 1 hour on a normal weekday?
workedSolution
sm_nogap Let $\large x$ = pay per hour on a weekday
| | | | -----------------------------------------: | ---------------------- | |6$\large x$ + (4 $\times\ 3\large x$) | \= 450 | | 6$\large x$ + 12$\large x$ | \= 450 | | 18$\large x$ | \= 450 | | $\therefore\large x$ | \= $\dfrac{450}{18}$ | | | \= {{{correctAnswer}}} |
correctAnswer
\$25.00

Answers

Is Correct?Answer
✓

$25.00

x

$34.60

x

$45.00

x

$75.00

Variant 3

DifficultyLevel

588

Question

Ronald works part time in a fast food outlet.

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

One week, he works 12 hours on weekdays and 4 hours on the weekend.

His pay for the week was $258.50

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

Worked Solution

Let x\large x = pay per hour on a weekday
12x\large x + (4 × 2.5x\times\ 2.5\large x) = 258.50
12x\large x + 10x\large x = 258.50
22x\large x = 258.50
∴x\therefore\large x = 258.5022\dfrac{258.50}{22}
= $11.75

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Ronald works part time in a fast food outlet. On weekends, he earns 2.5 times as much per hour as he earns on weekdays. One week, he works 12 hours on weekdays and 4 hours on the weekend. His pay for the week was \$258.50 How much does he earn in 1 hour on a weekday?
workedSolution
sm_nogap Let $\large x$ = pay per hour on a weekday
| | | | -----------------------------------------: | ---------------------- | | 12$\large x$ + (4 $\times\ 2.5\large x$) | \= 258.50 | | 12$\large x$ + 10$\large x$ | \= 258.50 | | 22$\large x$ | \= 258.50 | | $\therefore\large x$ | \= $\dfrac{258.50}{22}$ | | | \= {{{correctAnswer}}} |
correctAnswer
\$11.75

Answers

Is Correct?Answer
x

$21.50

x

$16.15

x

$14.00

✓

$11.75

Variant 4

DifficultyLevel

590

Question

Tabitha works part time in a pet shop.

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

One week, she works 15 hours on weekdays and 6 hours on the weekend.

Her pay for the week was $288.

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 + (6 × 1.5x\times\ 1.5\large x) = 288
15x\large x + 9x\large x = 288
24x\large x = 288
∴x\therefore\large x = 28824\dfrac{288}{24}
= $12.00

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Tabitha works part time in a pet shop. On weekends, she earns 1.5 times as much per hour as she earns on weekdays. One week, she works 15 hours on weekdays and 6 hours on the weekend. Her pay for the week was \$288. How much does she earn in 1 hour on a weekday?
workedSolution
sm_nogap Let $\large x$ = pay per hour on a weekday
| | | | -----------------------------------------: | ---------------------- | |15$\large x$ + (6 $\times\ 1.5\large x$) | \= 288 | | 15$\large x$ + 9$\large x$ | \= 288 | | 24$\large x$ | \= 288 | | $\therefore\large x$ | \= $\dfrac{288}{24}$ | | | \= {{{correctAnswer}}} |
correctAnswer
\$12.00

Answers

Is Correct?Answer
x

$10.10

✓

$12.00

x

$13.70

x

$19.20

Variant 5

DifficultyLevel

592

Question

Cole works part time in a supermarket.

On public holidays, he earns 2.5 times as much per hour as he earns on weekdays.

One week, he works 16 hours on weekdays and 8 hours on a public holiday.

His pay for the week was $756.00

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

Worked Solution

Let x\large x = pay per hour on a weekday
16x\large x + (8 × 2.5x\times\ 2.5\large x) = 756.00
16x\large x + 20x\large x = 756.00
36x\large x = 756.00
∴x\therefore\large x = 756.0036\dfrac{756.00}{36}
= $21.00

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Cole works part time in a supermarket. On public holidays, he earns 2.5 times as much per hour as he earns on weekdays. One week, he works 16 hours on weekdays and 8 hours on a public holiday. His pay for the week was $756.00 How much does he earn in 1 hour on a weekday?
workedSolution
sm_nogap Let $\large x$ = pay per hour on a weekday
| | | | -----------------------------------------: | ---------------------- | | 16$\large x$ + (8 $\times\ 2.5\large x$) | \= 756.00 | | 16$\large x$ + 20$\large x$ | \= 756.00 | | 36$\large x$ | \= 756.00 | | $\therefore\large x$ | \= $\dfrac{756.00}{36}$ | | | \= {{{correctAnswer}}} |
correctAnswer
\$21.00

Answers

Is Correct?Answer
x

$47.25

x

$37.80

✓

$21.00

x

$12.60

Tags

  • ms_ca