Question

Spencer needs 2 gallons of paint to create a mural. He has 3/8 gallon of yellow and 1/4 gallon of blue paint. Drag amounts of paint Spencer can add to the paint he already has to make exactly 2 gallons of paint.

Answer 1

First, let's see how much pait we already have.

3/8 + 1/4 = 3/8 + 2/8 = 5/8

Then subtract it from the amount you need.

2 - 5/8 = 1 3/8

He will need 1 3/8 gallons of paint. Hope this helps!

Answer 2

Hence, the amounts of paint Spencer can add to the paint he already has is:

11/8 gallons

Explanation:

The total amount of paint that is to be made is: 2 gallons

Spencer has 3/8 gallon of yellow and 1/4 gallon of blue paint.

Let c be the amount of paint that is need to be added to the yellow and blue paint in order to make 2 gallons of paint.

i.e.

`(3)/(8)+(1)/(4)+c=2\\\\i.e.\\\\(3+1* 2)/(8)+c=2\\\\i.e.\\\\(3+2)/(8)+c=2\\\\i.e.\\\\(5)/(8)+c=2\\\\i.e.\\\\c=2-(5)/(8)\\\\i.e.\\\\c=(2* 8-5)/(8)\\\\i.e.\\\\c=(16-5)/(8)\\\\i.e.\\\\c=(11)/(8)\ gallons`