Question

Marty has a box of raisins. He uses 1 1/2 cups of raisins for trail mix. Then he opens a bag with 2 1/3 cups of raisins in it. Marty then uses 3/4 cup of raisins for bread pudding. There are 3 1/2 cups of raisins left. How many cups of raisins were in the box. Explain.

Answer 1

Answer:

$5\frac{3}{4}\ cups\ of\ raisins$

Step-by-step explanation:

Let

x------> cups of raisins originally in the box

we know that

The original quantity is equal to the quantity that is left plus the quantity used

so

$x=3\frac{1}{2}+ 1\frac{1}{2}+\frac{3}{4}$

Convert mixed number to an improper fraction

$3\frac{1}{2}=\frac{3*2+1}{2}=\frac{7}{2}$

$1\frac{1}{2}=\frac{1*2+1}{2}=\frac{3}{2}$

substitute

$x=\frac{7}{2}+ \frac{3}{2}+\frac{3}{4}$

$x=\frac{10}{2}+ \frac{3}{4}$

$x=5+ \frac{3}{4}$

$x=5\frac{3}{4}\ cups\ of\ raisins$