Question

to mix a particular shade of purple paint red paint and blue paint are mixed in the ratio 5 : 3. to make 20 gallons of this shade of purple paint how many gallons of red and blue paint should be used

Answer 1

Answer: The amount of red paint required =12.5 gallon

The amount of blue paint required =7.5 gallon

Step-by-step explanation:

Given : To mix a particular shade of purple paint red paint and blue paint are mixed in the ratio 5 : 3.

Let 5x be the amount of red paint and 3x be the amount of blue paint.

To make 20 gallons of this shade of purple paint, we have

$5x+3x=20\\\\\Rightarrow\ 8x=20\\\\\Rightarrow\ x=\dfrac{20}{8}=2.5$

Now, the amount of red paint required = 5(2.5)=12.5 gallon

The amount of blue paint required = 3(2.5)=7.5 gallon

Answer 2

We would need:

• 12.5 gallons of red paint
• 7.5 gallons of blue paint

The ratio of Red paint to Blue paint is 5 : 3.

This means that, if we were mixing only a single gallon of purple paint, the percentage of red used would be:

= Ratio of red to blue / (sum of ratios of red and blue)

= 5 / (5 + 3)

= 5 /

= 62.5%

For blue it would be:

= 3 / 8

= 37.5%

If we are to make 20 gallons of purple therefore, the red needed is:

= Percentage of red in single gallon x number of purple gallons needed

= 62.5% x 20

= 12.5 gallons of red

For blue we would need:

= Percentage of blue in single gallon x number of purple gallons needed

= 37.5% x 20

= 7.5 gallons of blue

In conclusion, we would need 12.5 gallons of red paint and 7.5 gallons of blue paint to make 20 gallons of purple paint.

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