Question

to make fruit punch, tyrone needs 3 3/8 quarts of orange juice and 3 3/4 of cranberry juice. how many quarts doe she need in all

Answer 1

We have been given that to make fruit punch, Tyrone needs 3 3/8 quarts of orange juice and 3 3/4 of cranberry juice. We are asked to find the total quarts Tyrone needs to make the punch in all.

First of all, we will convert mixed fractions into improper fractions.

`3(3)/(8)\Rightarrow (8\cdot 3+3)/(8)=(24+3)/(8)=(27)/(8)`

`3(3)/(4)\Rightarrow (4\cdot 3+3)/(4)=(12+3)/(4)=(15)/(4)`

To find the total quarts needed, we will add both amounts as:

`\text{Total quarts needed}=(27)/(8)+(15)/(4)`

Let us make a common denominator.

`\text{Total quarts needed}=(27)/(8)+(15\cdot 2)/(4\cdot 2)`

`\text{Total quarts needed}=(27)/(8)+(30)/(8)`

`\text{Total quarts needed}=(27+30)/(8)`

`\text{Total quarts needed}=(57)/(8)`

`\text{Total quarts needed}=7(1)/(8)`

Therefore, Tyrone needs
`7(1)/(8)` quarts in all.