20045

Question

A painter mixes {{colour1}} and {{colour2}} paint in the ratio {{ratio}} to produce a {{colour3}} colour.

How many litres of {{colour1}} paint and {{colour2}} paint are required to get {{quantity1}} litres of the {{colour3}} paint?

Worked Solution

{{colour1}} : {{colour2}} = {{ratio}}

⇒\rArr {{fraction}} of total litres are {{colour1}}

⇒\rArr {{fraction}} × quantity1=quantity2\times\ {{quantity1}} = {{quantity2}} litres of {{colour1}}

∴\therefore {{{correctAnswer}}} litres are required.

Variant 0

DifficultyLevel

561

Question

A painter mixes red and blue paint in the ratio 1:31:3 to produce a purple colour.

How many litres of red paint and blue paint are required to get 60 litres of the purple paint?

Worked Solution

red : blue = 1:31:3

⇒\rArr 14\dfrac{1}{4} of total litres are red

⇒\rArr 14\dfrac{1}{4} × 60=15\times\ 60 = 15 litres of red

∴\therefore 15 red and 45 blue litres are required.

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
colour1
red
colour2
blue
ratio
$1:3$
colour3
purple
quantity1
60
fraction
$\dfrac{1}{4}$
quantity2
15
correctAnswer
15 red and 45 blue

Answers

Is Correct?Answer
✓

15 red and 45 blue

x

18 red and 42 blue

x

20 red and 40 blue

x

24 red and 36 blue

Variant 1

DifficultyLevel

561

Question

A painter mixes yellow and red paint in the ratio 1:41:4 to produce a tangerine colour.

How many litres of yellow paint and red paint are required to get 60 litres of the tangerine paint?

Worked Solution

yellow : red = 1:41:4

⇒\rArr 15\dfrac{1}{5} of total litres are yellow

⇒\rArr 15\dfrac{1}{5} × 60=12\times\ 60 = 12 litres of yellow

∴\therefore 12 yellow and 48 red litres are required.

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
colour1
yellow
colour2
red
ratio
$1:4$
colour3
tangerine
quantity1
60
fraction
$\dfrac{1}{5}$
quantity2
12
correctAnswer
12 yellow and 48 red

Answers

Is Correct?Answer
x

15 yellow and 45 red

✓

12 yellow and 48 red

x

10 yellow and 50 red

x

5 yellow and 55 red

Variant 2

DifficultyLevel

562

Question

A painter mixes blue and yellow paint in the ratio 1:31:3 to produce a green colour.

How many litres of blue paint and yellow paint are required to get 36 litres of the green paint?

Worked Solution

blue : yellow = 1:31:3

⇒\rArr 14\dfrac{1}{4} of total litres are blue

⇒\rArr 14\dfrac{1}{4} × 36=9\times\ 36 = 9 litres of blue

∴\therefore 9 blue and 27 yellow litres are required.

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
colour1
blue
colour2
yellow
ratio
$1:3$
colour3
green
quantity1
36
fraction
$\dfrac{1}{4}$
quantity2
9
correctAnswer
9 blue and 27 yellow

Answers

Is Correct?Answer
✓

9 blue and 27 yellow

x

10 blue and 26 yellow

x

12 blue and 24 yellow

x

15 blue and 21 yellow

Variant 3

DifficultyLevel

563

Question

A painter mixes blue and yellow paint in the ratio 1:51:5 to produce a teal colour.

How many litres of blue paint and yellow paint are required to get 30 litres of the teal paint?

Worked Solution

blue : yellow = 1:51:5

⇒\rArr 16\dfrac{1}{6} of total litres are blue

⇒\rArr 16\dfrac{1}{6} × 30=5\times\ 30 = 5 litres of blue

∴\therefore 5 blue and 25 yellow litres are required.

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
colour1
blue
colour2
yellow
ratio
$1:5$
colour3
teal
quantity1
30
fraction
$\dfrac{1}{6}$
quantity2
5
correctAnswer
5 blue and 25 yellow

Answers

Is Correct?Answer
x

4 blue and 26 yellow

✓

5 blue and 25 yellow

x

6 blue and 24 yellow

x

8 blue and 22 yellow

Variant 4

DifficultyLevel

561

Question

A painter mixes lemon and orange paint in the ratio 1:51:5 to produce a marigold colour.

How many litres of lemon paint and orange paint are required to get 60 litres of the marigold paint?

Worked Solution

lemon : orange = 1:51:5

⇒\rArr 16\dfrac{1}{6} of total litres are lemon

⇒\rArr 16\dfrac{1}{6} × 60=10\times\ 60 = 10 litres of lemon

∴\therefore 10 lemon and 50 orange litres are required.

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
colour1
lemon
colour2
orange
ratio
$1:5$
colour3
marigold
quantity1
60
fraction
$\dfrac{1}{6}$
quantity2
10
correctAnswer
10 lemon and 50 orange

Answers

Is Correct?Answer
x

5 lemon and 55 orange

✓

10 lemon and 50 orange

x

12 lemon and 45 orange

x

15 lemon and 45 orange

Tags

  • ch_ratio