Question

Show me how to do the problem, hamza bought 8 gallons of brown paint to paint it is kitchen and dining room unfortunately, when hamza started painting he thought the paint was too dark for his house so he wanted to make it lighter. The store manager would not let him to return the paint but, did inform him that if he used 1/4 of gallon of white paint and mixed it with two gallons of brown paint he would get the shade of brown paint he desired. If hamza decided to take this approach, how many gallons of white paint would hamza have to buy to lighten the 8 gallons of brown paint?

Answer 1

1 gallon.

Explanation:

The quantity of brown paint is 8 gallons.

To get the shade of brown paint he desired,
`\frac 1 4` gallon of white paint required to be mixed with 2 gallons of brown paint.

Here, Hamza wants to lighten the 8 gallons of brown paint, so, by using the elementary method,

For 2 gallons of brown paint, he required
`\frac 1 4` gallon of white paint.

So, for 1 gallon of brown paint, he required
`\frac 1 {4*2}` gallon of white paint.

Now, for 8 gallons of brown paint, he required
`\frac 1 {4*2}* 8=1` gallon of white paint.

Hence, Hamza needs to buy 1 gallon of white paint to light the 8 gallons of brown paint.