Question

Adam works at a bakery. He uses 1/8 of his flour supply to make bread and 3/4 of his flour supply to make other baked goods. If Adam used 21 pounds of flour, how much did he have in his supply?

Answer 1

6/8 on other goods+1/8 on bread=7/8 used
21/24
He had 24 pounds of flour in his supply

Answer 2

24 pounds of flour.

Explanation:

In the problem, the unknown quantity is the supply, which will be defined as
`x`. So, we know that Adam used 1/8 and 3/4 of the supply, and he used a total of 21 pounds of flour, the equation to represent this is:

`(1)/(8)x+(3)/(4)x=21`

Now, we solve for
`x`, to find the supply:

`(1)/(8)x+(3)/(4)x=21\\(4x+24x)/(32)=21\\(28x)/(32)=21\\(7x)/(8)=21\\ x=(21(8))/(7)=24`

Therefore, the supply was 24 pounds of flour.