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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?

Respuesta :

iloveknowledge101
6/8 on other goods+1/8 on bread=7/8 used
21/24
He had 24 pounds of flour in his supply

Answer:

24 pounds of flour.

Step-by-step explanation:

In the problem, the unknown quantity is the supply, which will be defined as [tex]x[/tex]. 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:

[tex]\frac{1}{8}x+\frac{3}{4}x=21[/tex]

Now, we solve for [tex]x[/tex], to find the supply:

[tex]\frac{1}{8}x+\frac{3}{4}x=21\\\frac{4x+24x}{32}=21\\\frac{28x}{32}=21\\\frac{7x}{8}=21\\ x=\frac{21(8)}{7}=24[/tex]

Therefore, the supply was 24 pounds of flour.