20356

Question

A wallet contains only ${{note1}} and ${{note2}} notes in the ratio {{ratio}}.

If there is a total of {{number1}} notes, how much money is in the wallet?

Worked Solution

Ratio = {{ratio}}

${{note1}} notes = {{frac1}} ×\times {{number1}} = {{total1}}

${{note2}} notes = {{frac2}} ×\times {{number1}} = {{total2}}
∴\therefore Total = {{total1}} ×\times {{note1}} + {{total2}} ×\times {{note2}}
= {{sum1}} + {{sum2}}
= {{{correctAnswer}}}

Variant 0

DifficultyLevel

605

Question

A wallet contains only $10 and $20 notes in the ratio 3 : 1.

If there is a total of 12 notes, how much money is in the wallet?

Worked Solution

Ratio = 3 : 1

$10 notes = 34\dfrac{3}{4} ×\times 12 = 9

$20 notes = 14\dfrac{1}{4} ×\times 12 = 3
∴\therefore Total = 9 ×\times 10 + 3 ×\times 20
= 90 + 60
= $150

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
note1
10
note2
20
ratio
3 : 1
number1
12
frac1
$\dfrac{3}{4}$
total1
9
frac2
$\dfrac{1}{4}$
total2
3
sum1
90
sum2
60
correctAnswer
$150

Answers

Is Correct?Answer
x

$120

x

$130

x

$140

✓

$150

Variant 1

DifficultyLevel

608

Question

A wallet contains only $5 and $20 notes in the ratio 2 : 3.

If there is a total of 15 notes, how much money is in the wallet?

Worked Solution

Ratio = 2 : 3

$5 notes = 25\dfrac{2}{5} ×\times 15 = 6

$20 notes = 35\dfrac{3}{5} ×\times 15 = 9
∴\therefore Total = 6 ×\times 5 + 9 ×\times 20
= 30 + 180
= $210

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
note1
5
note2
20
ratio
2 : 3
number1
15
frac1
$\dfrac{2}{5}$
total1
6
frac2
$\dfrac{3}{5}$
total2
9
sum1
30
sum2
180
correctAnswer
$210

Answers

Is Correct?Answer
x

$170

x

$190

✓

$210

x

$250

Variant 2

DifficultyLevel

610

Question

A wallet contains only $10 and $5 notes in the ratio 5 : 1.

If there is a total of 18 notes, how much money is in the wallet?

Worked Solution

Ratio = 5 : 1

$10 notes = 56\dfrac{5}{6} ×\times 18 = 15

$5 notes = 16\dfrac{1}{6} ×\times 18 = 3
∴\therefore Total = 15 ×\times 10 + 3 ×\times 5
= 150 + 15
= $165

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
note1
10
note2
5
ratio
5 : 1
number1
18
frac1
$\dfrac{5}{6}$
total1
15
frac2
$\dfrac{1}{6}$
total2
3
sum1
150
sum2
15
correctAnswer
$165

Answers

Is Correct?Answer
x

$150

✓

$165

x

$180

x

$215

Variant 3

DifficultyLevel

605

Question

A wallet contains only $20 and $10 notes in the ratio 2 : 1.

If there is a total of 12 notes, how much money is in the wallet?

Worked Solution

Ratio = 2 : 1

$20 notes = 23\dfrac{2}{3} ×\times 12 = 8

$10 notes = 13\dfrac{1}{3} ×\times 12 = 4
∴\therefore Total = 8 ×\times 20 + 4 ×\times 10
= 160 + 40
= $200

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
note1
20
note2
10
ratio
2 : 1
number1
12
frac1
$\dfrac{2}{3}$
total1
8
frac2
$\dfrac{1}{3}$
total2
4
sum1
160
total2
4
sum2
40
correctAnswer
$200

Answers

Is Correct?Answer
x

$140

x

$160

x

$180

✓

$200

Variant 4

DifficultyLevel

575

Question

A wallet contains only $50 and $20 notes in the ratio 1 : 3.

If there is a total of 16 notes, how much money is in the wallet?

Worked Solution

Ratio = 1 : 3

$50 notes = 14\dfrac{1}{4} ×\times 16 = 4

$20 notes = 34\dfrac{3}{4} ×\times 16 = 12
∴\therefore Total = 4 ×\times 50 + 12 ×\times 20
= 200 + 240
= $440

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
note1
50
note2
20
ratio
1 : 3
number1
16
frac1
$\dfrac{1}{4}$
total1
4
frac2
$\dfrac{3}{4}$
total2
12
sum1
200
sum2
240
correctAnswer
$440

Answers

Is Correct?Answer
x

$300

x

$370

✓

$440

x

$480