Question

We couldn't find any school results for There were X quarts of liquid in a

con-tainer. First, 3/4 of the liquid in the container was removed. Then
another 1/2 quart was poured into the container. Write an expression in
terms of X for the number of quarts of liquid in the container at the end.
Then write another equivalent expres-sion. Explain.

Answer 1

Initial liquid volume is x.

3/4 of the liquid was removed:

• 
  `x - \cfrac{3}{4} x`

Then 1/2 quarts added, the expression including the addition is:

• 
  `x - \cfrac{3}{4} x + \cfrac{1}{2}`

Simplify to get equivalent expression:

• 
  `\cfrac{1}{4} x + \cfrac{1}{2}`