Algebra, NAP_30127

Question

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Worked Solution

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Variant 0

DifficultyLevel

503

Question

Pistol spent twice as much money as Boo.

If they spent a total of $210, how much did Pistol spend?

Worked Solution

Strategy 1

By trial and error of each option:

If Pistol spent $140, Boo spent $70

Total spent together = 140 + 70 = $210


Strategy 2

Let  x\ \large x = Amount Boo spent
2x2 \large x + x\large x = 210
x\large x = $70


∴\therefore Pistol spent $140.

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Pistol spent twice as much money as Boo. If they spent a total of \$210, how much did Pistol spend?
workedSolution
Strategy 1 By trial and error of each option: If Pistol spent $140, Boo spent $70 Total spent together = 140 + 70 = $210
Strategy 2 | | | | -----: | -------------------- | | Let $\ \large x$ | \= Amount Boo spent | | $2 \large x$ + $\large x$ | \= 210 | | $\large x$ | \= \$70 |

$\therefore$ Pistol spent \$140.
correctAnswer
\$140

Answers

Is Correct?Answer
x

$35

x

$70

✓

$140

x

$160

Variant 1

DifficultyLevel

505

Question

Mike takes twice as many kilograms of apples to market as Rod.

If they take a total of 135 kilograms of apples to market, how many kilograms does Rod take?

Worked Solution

Strategy 1

By trial and error of each option:

If Mike has 90 kilograms, Rod has 45 kilograms

Total kilograms together = 90 + 45 = 135


Strategy 2

Let  x\ \large x = kilograms Rod has
2x2 \large x + x\large x = 135
3x3 \large x = 135
x\large x = 45


∴\therefore Rod has 45 kilograms of apples

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Mike takes twice as many kilograms of apples to market as Rod. If they take a total of 135 kilograms of apples to market, how many kilograms does Rod take?
workedSolution
Strategy 1 By trial and error of each option: If Mike has 90 kilograms, Rod has {{{correctAnswer}}} kilograms Total kilograms together = 90 + {{{correctAnswer}}} = 135
Strategy 2 | | | | -----: | -------------------- | | Let $\ \large x$ | \= kilograms Rod has | | $2 \large x$ + $\large x$ | \= 135 | | $3 \large x$ | \= 135 | | $\large x$ | \= {{{correctAnswer}}} |

$\therefore$ Rod has {{{correctAnswer}}} kilograms of apples
correctAnswer
45

Answers

Is Correct?Answer
✓

45

x

60

x

90

x

270

Variant 2

DifficultyLevel

507

Question

Hayley takes twice as many kilograms of pumpkins to market as Coral.

If they take a total of 360 kilograms of pumpkins to market, how many kilograms does Coral take?

Worked Solution

Strategy 1

By trial and error of each option:

If Hayley has 240 kilograms, Coral has 120 kilograms

Total kilograms together = 240 + 120 = 360


Strategy 2

Let  x\ \large x = kilograms Coral has
2x2 \large x + x\large x = 360
3x3 \large x = 360
x\large x = 120


∴\therefore Coral has 120 kilograms of pumpkins

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Hayley takes twice as many kilograms of pumpkins to market as Coral. If they take a total of 360 kilograms of pumpkins to market, how many kilograms does Coral take?
workedSolution
Strategy 1 By trial and error of each option: If Hayley has 240 kilograms, Coral has {{{correctAnswer}}} kilograms Total kilograms together = 240 + {{{correctAnswer}}} = 360
Strategy 2 | | | | -----: | -------------------- | | Let $\ \large x$ | \= kilograms Coral has | | $2 \large x$ + $\large x$ | \= 360 | | $3 \large x$ | \= 360 | | $\large x$ | \= {{{correctAnswer}}} |

$\therefore$ Coral has {{{correctAnswer}}} kilograms of pumpkins
correctAnswer
120

Answers

Is Correct?Answer
x

90

✓

120

x

240

x

720

Variant 3

DifficultyLevel

509

Question

Hugh buys twice as many bales of hay as Grant.

If they buy a total of 210 bales of hay, how many bales does Grant buy?

Worked Solution

Strategy 1

By trial and error of each option:

If Hugh buys 140 bales, Grant buys 70 bales.

Total kilograms together = 140 + 70 = 210


Strategy 2

Let  x\ \large x = bales Grant buys
2x2 \large x + x\large x = 210
3x3 \large x = 210
x\large x = 70


∴\therefore Grant bought 70 bales of hay

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Hugh buys twice as many bales of hay as Grant. If they buy a total of 210 bales of hay, how many bales does Grant buy?
workedSolution
Strategy 1 By trial and error of each option: If Hugh buys 140 bales, Grant buys {{{correctAnswer}}} bales. Total kilograms together = 140 + {{{correctAnswer}}} = 210
Strategy 2 | | | | -----: | -------------------- | | Let $\ \large x$ | \= bales Grant buys | | $2 \large x$ + $\large x$ | \= 210 | | $3 \large x$ | \= 210 | | $\large x$ | \= {{{correctAnswer}}} |

$\therefore$ Grant bought {{{correctAnswer}}} bales of hay
correctAnswer
70

Answers

Is Correct?Answer
x

420

x

140

x

105

✓

70

Variant 4

DifficultyLevel

511

Question

Jake has twice as many marbles as Iris.

If they have a total of 63 marbles, how many marbles does Iris have?

Worked Solution

Strategy 1

By trial and error of each option:

If Jake has 42 marbles, Iris has 21 marbles.

Total marbles = 42 + 21 = 63


Strategy 2

Let  x\ \large x = marbles Iris has
2x2 \large x + x\large x = 63
3x3 \large x = 63
x\large x = 21


∴\therefore Iris has 21 marbles

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Jake has twice as many marbles as Iris. If they have a total of 63 marbles, how many marbles does Iris have?
workedSolution
Strategy 1 By trial and error of each option: If Jake has 42 marbles, Iris has {{{correctAnswer}}} marbles. Total marbles = 42 + {{{correctAnswer}}} = 63
Strategy 2 | | | | -----: | -------------------- | | Let $\ \large x$ | \= marbles Iris has | | $2 \large x$ + $\large x$ | \= 63 | | $3 \large x$ | \= 63 | | $\large x$ | \= {{{correctAnswer}}} |

$\therefore$ Iris has {{{correctAnswer}}} marbles
correctAnswer
21

Answers

Is Correct?Answer
✓

21

x

42

x

126

x

189

Variant 5

DifficultyLevel

513

Question

Sabit has saved twice as much money as Jade.

If they have a total of $186 in savings, how much has Jade saved?

Worked Solution

Strategy 1

By trial and error of each option:

If Sabit saved $124, Jade has saved $62.

Total savings = $124 + $62 = $186


Strategy 2

Let  x\ \large x = Jade's savings
2x2 \large x + x\large x = 186
3x3 \large x = 186
x\large x = $62


∴\therefore Jade has saved $62

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Sabit has saved twice as much money as Jade. If they have a total of $186 in savings, how much has Jade saved?
workedSolution
Strategy 1 By trial and error of each option: If Sabit saved $124, Jade has saved {{{correctAnswer}}}. Total savings = $124 + {{{correctAnswer}}} = $186
Strategy 2 | | | | -----: | -------------------- | | Let $\ \large x$ | \= Jade's savings | | $2 \large x$ + $\large x$ | \= 186 | | $3 \large x$ | \= 186 | | $\large x$ | \= {{{correctAnswer}}} |

$\therefore$ Jade has saved {{{correctAnswer}}}
correctAnswer
$62

Answers

Is Correct?Answer
x

$279

x

$183

x

$124

✓

$62

Tags

  • ch_ratio
  • staging_suejones