NET MIG stacking NAPX7 2

Question

{{{question}}}

Worked Solution

{{{workedSolution}}}

Variant 0

DifficultyLevel

479

Question

Mike and Georgia saved $90 together.

Georgia saved twice as much money as Mike.

How much money did Georgia save?

Worked Solution

Solution 1

Test each option:

Option 1 =2×15+15=45=2 \times 15 + 15 = 45

Option 2 =2×25+25=75=2 \times 25 + 25 = 75

Option 3 =2×30+30=90=2 \times 30 + 30 = 90 ✓\checkmark

Option 4 =2×90+90=75=2 \times 90 + 90 = 75


∴\therefore Georgia saved $60


Solution 2 (advanced)

Let x\large x = Mike's savings
x\large x + 2x2\large x = 90
3x3\large x = 90
x\large x = $30

∴\therefore Georgia saved $60

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Mike and Georgia saved $90 together. Georgia saved twice as much money as Mike. How much money did Georgia save?
workedSolution
Solution 1 Test each option: >>Option 1 $=2 \times 15 + 15 = 45$ >>Option 2 $=2 \times 25 + 25 = 75$ >>Option 3 $=2 \times 30 + 30 = 90$ $\checkmark$ >>Option 4 $=2 \times 90 + 90 = 75$
$\therefore$ Georgia saved {{{correctAnswer}}}
Solution 2 (advanced) Let $\large x$ = Mike's savings
>| | | | --------------------: | -------------- | | $\large x$ + $2\large x$ | \= 90 | | $3\large x$ | \= 90 | | $\large x$ | \= $30 |

$\therefore$ Georgia saved $60
correctAnswer
$60

Answers

Is Correct?Answer
x

$30

x

$50

✓

$60

x

$180

Variant 1

DifficultyLevel

497

Question

Starsky spent twice as much money as Hutch.

If they spent a total of $120, how much did Hutch spend?

Worked Solution

Solution 1

Test each option:

Option 1 =2×20+20=60=2 \times 20 + 20 = 60

Option 2 =2×40+40=120=2 \times 40 + 40 = 120 ✓\checkmark

Option 3 =2×80+80=240=2 \times 80 + 80 = 240

Option 4 =2×240+240=720=2 \times 240 + 240 = 720


∴\therefore Hutch spent $40


Solution 2 (advanced)
Let  x\text{Let}\ \ \large x = Amount Hutch spent
2x+x2\large x + x = 120
3x3 \large x = 120
x\large x = $40

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Starsky spent twice as much money as Hutch. If they spent a total of \$120, how much did Hutch spend?
workedSolution
Solution 1 Test each option: >>Option 1 $=2 \times 20 + 20 = 60$ >>Option 2 $=2 \times 40 + 40 = 120$ $\checkmark$ >>Option 3 $=2 \times 80 + 80 = 240$ >>Option 4 $=2 \times 240 + 240 = 720$
$\therefore$ Hutch spent {{{correctAnswer}}}
Solution 2 (advanced)
| | | | --------------------: | -------------- | | $\text{Let}\ \ \large x$ | \= Amount Hutch spent | | $2\large x + x$ | \= 120 | | $3 \large x$ | \= 120 | | $\large x$ | \= {{{correctAnswer}}}|
correctAnswer
$40

Answers

Is Correct?Answer
x

$20

✓

$40

x

$80

x

$240

Variant 2

DifficultyLevel

485

Question

Bill spent twice as much money as Hans.

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

Worked Solution

Solution 1

Test each option:

Option 1 =2×420+420=1260=2 \times 420 + 420 = 1260

Option 2 =2×140+140=420=2 \times 140 + 140 = 420

Option 3 =2×70+70=210=2 \times 70 + 70 = 210 ✓\checkmark

Option 4 =2×35+35=105=2 \times 35 + 35 = 105


∴\therefore Hans spent $70


Solution 2 (advanced)
Let  x\text{Let}\ \ \large x = Amount Hans spent
2x+x2\large x + x = 210
3x3 \large x = 210
x\large x = $70

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Bill spent twice as much money as Hans. If they spent a total of \$210, how much did Hans spend?
workedSolution
Solution 1 Test each option: >>Option 1 $=2 \times 420 + 420 = 1260$ >>Option 2 $=2 \times 140 + 140 = 420$ >>Option 3 $=2 \times 70 + 70 = 210$ $\checkmark$ >>Option 4 $=2 \times 35 + 35 = 105$
$\therefore$ Hans spent {{{correctAnswer}}}
Solution 2 (advanced)
| | | | --------------------: | -------------- | | $\text{Let}\ \ \large x$ | \= Amount Hans spent | | $2\large x + x$ | \= 210 | | $3 \large x$ | \= 210 | | $\large x$ | \= {{{correctAnswer}}}|
correctAnswer
$70

Answers

Is Correct?Answer
x

$420

x

$140

✓

$70

x

$35

Variant 3

DifficultyLevel

489

Question

Wilma spent three times as much money as Betty.

If they spent a total of $200, how much did Betty spend?

Worked Solution

Solution 1

Test each option:

Option 1 =3×10+10=40=3 \times 10 + 10 = 40

Option 2 =3×40+40=160=3 \times 40 + 40 = 160

Option 3 =3×50+50=200=3 \times 50 + 50 = 200 ✓\checkmark

Option 4 =3×100+100=400=3 \times 100 + 100 = 400


∴\therefore Betty spent $50


Solution 2 (advanced)
Let  x\text{Let}\ \ \large x = Amount Betty spent
3x+x3\large x + x = 200
4x4 \large x = 200
x\large x = $50

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Wilma spent three times as much money as Betty. If they spent a total of \$200, how much did Betty spend?
workedSolution
Solution 1 Test each option: >>Option 1 $=3 \times 10 + 10 = 40$ >>Option 2 $=3 \times 40 + 40 = 160$ >>Option 3 $=3 \times 50 + 50 = 200$ $\checkmark$ >>Option 4 $=3 \times 100 + 100 = 400$
$\therefore$ Betty spent {{{correctAnswer}}}
Solution 2 (advanced)
| | | | --------------------: | -------------- | | $\text{Let}\ \ \large x$ | \= Amount Betty spent | | $3\large x + x$ | \= 200 | | $4 \large x$ | \= 200 | | $\large x$ | \= {{{correctAnswer}}}|
correctAnswer
$50

Answers

Is Correct?Answer
x

$20

x

$40

✓

$50

x

$100

Variant 4

DifficultyLevel

490

Question

Kerry spent four times as much money as Nathan.

If they spent a total of $600, how much did Kerry spend?

Worked Solution

Solution 1

Test each option:

Option 1 =4×120+120=480+120=600=4 \times 120 + 120 = 480 + 120 =600 ✓\checkmark

Option 2 =4×40+40=160+40=200=4 \times 40 + 40 = 160 + 40 = 200

Option 3 =4×30+30=120+30=150=4 \times 30 + 30 = 120 + 30 = 150

Option 4 =4×20+20=80+20=100=4 \times 20 + 20 = 80 + 20 = 100


∴\therefore Kerry spent $480

Solution 2 (advanced)
Let  x\text{Let}\ \ \large x = Amount Nathan spent
4x+x4\large x + x = 600
5x5 \large x = 600
x\large x = $120

∴\therefore Kerry spent 4 ×\times $120 = $480

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Kerry spent four times as much money as Nathan. If they spent a total of \$600, how much did Kerry spend?
workedSolution
Solution 1 Test each option: >>Option 1 $=4 \times 120 + 120 = 480 + 120 =600$ $\checkmark$ >>Option 2 $=4 \times 40 + 40 = 160 + 40 = 200$ >>Option 3 $=4 \times 30 + 30 = 120 + 30 = 150$ >>Option 4 $=4 \times 20 + 20 = 80 + 20 = 100$
$\therefore$ Kerry spent {{{correctAnswer}}} Solution 2 (advanced)
| | | | --------------------: | -------------- | | $\text{Let}\ \ \large x$ | \= Amount Nathan spent | | $4\large x + x$ | \= 600 | | $5 \large x$ | \= 600 | | $\large x$ | \= $120| $\therefore$ Kerry spent 4 $\times$ $120 = {{{correctAnswer}}}
correctAnswer
$480

Answers

Is Correct?Answer
✓

$480

x

$160

x

$120

x

$80

Variant 5

DifficultyLevel

491

Question

Bo spent three times as much money as Derek.

If they spent a total of $220, how much did Derek spend?

Worked Solution

Solution 1

Test each option:

Option 1 =3×20+20=80=3 \times 20 + 20 = 80

Option 2 =3×35+35=140=3 \times 35 + 35 = 140

Option 3 =3×50+50=200=3 \times 50 + 50 = 200

Option 4 =3×55+55=220=3 \times 55 + 55 = 220 ✓\checkmark


∴\therefore Derek spent $55


Solution 2 (advanced)
Let  x\text{Let}\ \ \large x = Amount Derek spent
3x+x3\large x + x = 220
4x4 \large x = 220
x\large x = $55

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Bo spent three times as much money as Derek. If they spent a total of \$220, how much did Derek spend?
workedSolution
Solution 1 Test each option: >>Option 1 $=3 \times 20 + 20 = 80$ >>Option 2 $=3 \times 35 + 35 = 140$ >>Option 3 $=3 \times 50 + 50 = 200$ >>Option 4 $=3 \times 55 + 55 = 220$ $\checkmark$
$\therefore$ Derek spent {{{correctAnswer}}}
Solution 2 (advanced)
| | | | --------------------: | -------------- | | $\text{Let}\ \ \large x$ | \= Amount Derek spent | | $3\large x + x$ | \= 220 | | $4 \large x$ | \= 220 | | $\large x$ | \= {{{correctAnswer}}}|
correctAnswer
$55

Answers

Is Correct?Answer
x

$20

x

$35

x

$50

✓

$55

Tags

  • nap_nc
  • staging_suejones