Question

Green paint can be made by mixing yellow paint and blue paint in the ratio 2:3. Wendy makes 15 liters of green paint. Work out how many liters of blue paint Wendy uses.

a) 6 liters
b) 9 liters
c) 10 liters
d) none of the above

Answer 1

To make 15 liters of green paint with a ratio of 2:3 of yellow to blue paint, Wendy uses 9 liters of blue paint.

Step-by-step explanation:

The question asks how many liters of blue paint Wendy uses to make 15 liters of green paint when the ratio of yellow paint to blue paint is 2:3. To solve this, we need to combine the parts of the ratio (2 parts yellow + 3 parts blue = 5 parts total) and divide the total amount of green paint desired (15 liters) by the total number of ratio parts to find out how much one part is. One part is equal to 15 liters ÷ 5 parts = 3 liters per part. Since blue is 3 parts of the ratio, we multiply the 3 liters per part by 3 parts blue, giving us 9 liters of blue paint (3 liters/part × 3 parts = 9 liters).