To determine the amount of white paint Hamza needs to buy to lighten the 8 gallons of brown paint, we need to calculate the ratio of brown paint to white paint that gives the desired shade.
According to the information given, mixing 1/4 of a gallon of white paint with 2 gallons of brown paint creates the desired shade. This ratio can be written as 1/4 white paint to 2 gallons of brown paint.
To find the amount of white paint required to lighten 8 gallons of brown paint, we can set up a proportion.
1/4 white paint : 2 gallons brown paint = X white paint : 8 gallons brown paint
Cross-multiplying, we get:
(1/4) * 8 gallons brown paint = 2 gallons white paint
Simplifying the expression:
2 gallons brown paint = 2 gallons white paint
Therefore, Hamza would need to buy 2 gallons of white paint to lighten the 8 gallons of brown paint.