Question

Pablo makes one batch of his favorite shade of paint by combining 8 liters of yellow paint with 3 liters of red paint. If he has 12 liters of red paint then how many liters of yellow paint will he need to make his favorite shade of paint?

32 yellow

96 yellow

36 yellow

27 yellow

Answer 1

Given,

Pablo makes one batch of his favorite shade of paint by combining 8 liters of yellow paint with 3 liters of red paint.

To Find,

The required amount of yellow paint if he has 12 litres of red paint.

Solution,

→ In the first case:

Amount of yellow paint = 8 litres

Amount of red paint = 3 litres

Ratio of yellow paint to red paint = 8 : 3

→ In the second case:

Amount of yellow paint = x

Amount of red paint = 12 litres

→ The ratio 8:3 is in the simplest form and can be applied to the second case.

We know that,

→ Amount of red paint in first case = 3 litres

→ Amount of red paint in second case = 12 litres

Conclusion:

The amount of paint used in the second case is four times the amount of paint used in the first case. [3 x 4 = 12]

Amount of yellow paint used in the first case = 8 litres.

∴ Amount of yellow paint used in the second case = 8 x 4 = 32 litres.

So, x = 32 litres

∴ The correct option is Option A: 32 litres.