Hamza bought 8 gallons of brown paint to paint his kitchen and dining room. Unfortunately, when Hamza started painting, he thought the paint was to dark for his house, so he wanted to make it lighter. The store manager would not let Hamza return the paint but did inform him that if he used 14 of a gallon of white paint mixed with 2 gallons of brown paint he would get the shade brown he desired. So if Hamza decides to takes this approach, how many gallons of white paint would Hamza have to buy to lighten the 8 gallons of brown paint
14:2 = 56:8
To figure out how many gallons of white paint Hamza would need to buy in order to lighten the 8 gallons of brown paint, we need to calculate the ratio of brown paint to white paint.
The store manager informed Hamza that using 14 of a gallon of white paint mixed with 2 gallons of brown paint would give him the desired shade. This means that the ratio of white paint to brown paint is 14:2.
To find the ratio of white paint to 8 gallons of brown paint, we can set up a proportion:
white paint / 8 gallons of brown paint = 14 / 2
To solve for white paint, we can cross multiply:
white paint = (8 gallons of brown paint * 14) / 2
Simplifying the equation:
white paint = (112 gallons of brown paint) / 2
white paint = 56 gallons
Therefore, Hamza would need to buy 56 gallons of white paint to lighten the 8 gallons of brown paint.