50154

Question

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Worked Solution

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Variant 0

DifficultyLevel

565

Question

Zoe collected 8 baskets of eggs from her chicken coup.

Each basket had the same number of eggs and a total of 96 eggs were collected.

Which equation shows the average number of eggs,  x\large x,  in each basket?

Worked Solution

Let  x\large x = Eggs in 1 basket
x\large x = total eggsnumber of baskets\dfrac {\text{total eggs}}{\text{number of baskets}}
x\large x = 968\dfrac{96}{8}
∴x\therefore \large x × 8×\ 8 = 9696

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Zoe collected 8 baskets of eggs from her chicken coup. Each basket had the same number of eggs and a total of 96 eggs were collected. Which equation shows the average number of eggs,  $\large x$,  in each basket?
workedSolution
sm_nogap Let  $\large x$ = Eggs in 1 basket
| | | | --------------------: | -------------- | | $\large x$ | \= $\dfrac {\text{total eggs}}{\text{number of baskets}}$ | | | | | $\large x$| \= $\dfrac{96}{8}$ | | $\therefore \large x$ $×\ 8$ | \= $96$ |
correctAnswer
$\large x$ × 8 = 96

Answers

Is Correct?Answer
x

x\large x = 96 × 8

x

x\large x = 96 − 8

x

x\large x ÷ 8 = 96

✓

x\large x × 8 = 96

Variant 1

DifficultyLevel

565

Question

Beau picked 18 baskets of peaches from the orchard.

Each basket had the same number of peaches and a total of 450 peaches were picked.

Which equation shows the average number of peaches,  x\large x,  in each basket?

Worked Solution

Let  x\large x = Peaches in 1 basket
x\large x = total peachesnumber of baskets\dfrac {\text{total peaches}}{\text{number of baskets}}
x\large x = 45018\dfrac{450}{18}
∴x\therefore \large x × 18×\ 18 = 450450

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Beau picked 18 baskets of peaches from the orchard. Each basket had the same number of peaches and a total of 450 peaches were picked. Which equation shows the average number of peaches,  $\large x$,  in each basket?
workedSolution
sm_nogap Let  $\large x$ = Peaches in 1 basket
| | | | --------------------: | -------------- | | $\large x$ | \= $\dfrac {\text{total peaches}}{\text{number of baskets}}$ | | | | | $\large x$| \= $\dfrac{450}{18}$ | | $\therefore \large x$ $×\ 18$ | \= $450$ |
correctAnswer
$\large x$ × 18 = 450

Answers

Is Correct?Answer
x

x\large x ÷ 18 = 450

✓

x\large x × 18 = 450

x

x\large x = 450 − 18

x

x\large x = 450 × 18

Variant 2

DifficultyLevel

567

Question

Belinda raised money for charity on 12 consecutive days.

Each day she collected same amount of money and a total of $1320 was collected.

Which equation shows the average amount collected,  x\large x, each day?

Worked Solution

Let  x\large x = Amount collected in 1 day
x\large x = total collectednumber of days\dfrac {\text{total collected}}{\text{number of days}}
x\large x = 132012\dfrac{1320}{12}
∴x\therefore \large x × 12×\ 12 = 13201320

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Belinda raised money for charity on 12 consecutive days. Each day she collected same amount of money and a total of $1320 was collected. Which equation shows the average amount collected,  $\large x$, each day?
workedSolution
sm_nogap Let  $\large x$ = Amount collected in 1 day
| | | | --------------------: | -------------- | | $\large x$ | \= $\dfrac {\text{total collected}}{\text{number of days}}$ | | | | | $\large x$| \= $\dfrac{1320}{12}$ | | $\therefore \large x$ $×\ 12$ | \= $1320$ |
correctAnswer
$\large x$ × 12 = 1320

Answers

Is Correct?Answer
x

x\large x = 1320 − 12

x

x\large x ÷ 12 = 1320

✓

x\large x × 12 = 1320

x

x\large x = 1320 × 12

Variant 3

DifficultyLevel

561

Question

Sam worked for 35 hours last week.

Each hour he worked he earned the same amount of money and he earned a total of $630 last week.

Which equation shows the average amount Sam earned,  x\large x, per hour?

Worked Solution

Let  x\large x = Amount earned in 1 hour
x\large x = total earnednumber of hours\dfrac {\text{total earned}}{\text{number of hours}}
x\large x = 63035\dfrac{630}{35}
∴x\therefore \large x × 35×\ 35 = 630630

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Sam worked for 35 hours last week. Each hour he worked he earned the same amount of money and he earned a total of $630 last week. Which equation shows the average amount Sam earned,  $\large x$, per hour?
workedSolution
sm_nogap Let  $\large x$ = Amount earned in 1 hour
| | | | --------------------: | -------------- | | $\large x$ | \= $\dfrac {\text{total earned}}{\text{number of hours}}$ | | | | | $\large x$| \= $\dfrac{630}{35}$ | | $\therefore \large x$ $×\ 35$ | \= $630$ |
correctAnswer
$\large x$ × 35 = 630

Answers

Is Correct?Answer
✓

x\large x × 35 = 630

x

x\large x = 630 − 35

x

x\large x = 630 × 35

x

x\large x ÷ 35 = 630

Variant 4

DifficultyLevel

560

Question

Levi collected 42 kilograms of apples from the orchard.

Each kilogram had the same number of apples and a total of 336 apples were picked.

Which equation shows the average number of apples,  x\large x,  per kilogram?

Worked Solution

Let  x\large x = Apples in 1 kilogram
x\large x = total applesnumber of kilograms\dfrac {\text{total apples}}{\text{number of kilograms}}
x\large x = 33642\dfrac{336}{42}
∴x\therefore \large x × 42×\ 42 = 336336

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Levi collected 42 kilograms of apples from the orchard. Each kilogram had the same number of apples and a total of 336 apples were picked. Which equation shows the average number of apples,  $\large x$,  per kilogram?
workedSolution
sm_nogap Let  $\large x$ = Apples in 1 kilogram
| | | | --------------------: | -------------- | | $\large x$ | \= $\dfrac {\text{total apples}}{\text{number of kilograms}}$ | | | | | $\large x$| \= $\dfrac{336}{42}$ | | $\therefore \large x$ $×\ 42$ | \= $336$ |
correctAnswer
$\large x$ × 42 = 336

Answers

Is Correct?Answer
x

x\large x = 336 × 42

x

x\large x = 336 − 42

✓

x\large x × 42 = 336

x

x\large x ÷ 42 = 336

Variant 5

DifficultyLevel

567

Question

Ronan planted 25 boxes of seedlings.

Each box had the same number of seedlings and a total of 1000 seedlings were planted.

Which equation shows the average number of seedlings,  x\large x,  per box?

Worked Solution

Let  x\large x = Seedlings in 1 box
x\large x = total seedlingsnumber of boxes\dfrac {\text{total seedlings}}{\text{number of boxes}}
x\large x = 100025\dfrac{1000}{25}
∴x\therefore \large x × 25×\ 25 = 10001000

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Ronan planted 25 boxes of seedlings. Each box had the same number of seedlings and a total of 1000 seedlings were planted. Which equation shows the average number of seedlings,  $\large x$,  per box?
workedSolution
sm_nogap Let  $\large x$ = Seedlings in 1 box
| | | | --------------------: | -------------- | | $\large x$ | \= $\dfrac {\text{total seedlings}}{\text{number of boxes}}$ | | | | | $\large x$| \= $\dfrac{1000}{25}$ | | $\therefore \large x$ $×\ 25$ | \= $1000$ |
correctAnswer
$\large x$ × 25 = 1000

Answers

Is Correct?Answer
x

x\large x ÷ 25 = 1000

x

x\large x = 1000 × 25

x

x\large x = 1000 − 25

✓

x\large x × 25 = 1000

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