contestada

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.

Respuesta :

calculista

Answer:

[tex]5\frac{3}{4}\ cups\ of\ raisins[/tex]

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

[tex]x=3\frac{1}{2}+ 1\frac{1}{2}+\frac{3}{4}[/tex]

Convert mixed number to an improper fraction

[tex]3\frac{1}{2}=\frac{3*2+1}{2}=\frac{7}{2}[/tex]

[tex]1\frac{1}{2}=\frac{1*2+1}{2}=\frac{3}{2}[/tex]

substitute

[tex]x=\frac{7}{2}+ \frac{3}{2}+\frac{3}{4}[/tex]

[tex]x=\frac{10}{2}+ \frac{3}{4}[/tex]

[tex]x=5+ \frac{3}{4}[/tex]

[tex]x=5\frac{3}{4}\ cups\ of\ raisins[/tex]

prosborough198p2ub41

Answer:

Step-by-step explanation:

x=box raisins

Total raisins = raisins used plus raisins left

x+7/3 = 3/2+3/4+7/2

x-7/3+7/3 = 3/2+7/2+3/4-7/3

x = 10/2 + 3/4 - 7/3

Find GCF

x = 6/6*10/2 + 3/3*3/4 - 4/4*7/3

x = 60/12 + 9/12 - 28/12

x = 69/12 - 28/12

x = 41/12

x = 3-5/12 cups raisins in the box

Please rate my answer. Any questions please just ask. Thanks!

Otras preguntas