Question

Jenna mixed two shades of purple paint. For Purple People Eater, she used 3 pints of red paint for every 5 pints of blue paint. For Purple Majesty, she used a blue to red paint ratio of 7 to 4. Compare the ratios of red paint to blue paint. The ratio for Purple People Eater can be expressed in fraction form as . The ratio for Purple Majesty can be expressed in fraction form as . To compare these fractions, rewrite them with a common denominator of . The ratio of red paint to blue paint in Purple People Eater is the ratio in Purple Majesty.

Answer 1

1.3/5

2.4/7

3.35

4.greater than

Answer 2

`(12)/(35)`

Explanation:

Given :

→ For Purple People Eater, she used 3 pints of red paint for every 5 pints of blue paint.

i.e, The ratio of red paint to blue paint is 3:5

→ For Purple Majesty, she used a blue to red paint ratio of 7 to 4.

i.e, The ratio of red paint to blue paint is 4:7

To find :

1) Compare the ratios of red paint to blue paint.

`(3)/(5)* (4)/(7)=(12)/(35)`

2) The ratio for Purple People Eater can be expressed in fraction form as :

`=(3)/(5)`

3) The ratio for Purple Majesty can be expressed in fraction form as :

`=(7)/(4)`

4) To compare these fractions, rewrite them with a common denominator

For common denominator

Multiply numerator and denominator by 4 in
`(3)/(5)`

`\Rightarrow(3* 4)/(5*4)=(12)/(20)`

Multiply numerator and denominator by 5 in
`(7)/(4)`

`\Rightarrow(7* 5)/(5*4)=(35)/(20)`

Common denominator is 20