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.
[tex]3\frac{3}{8}\Rightarrow \frac{8\cdot 3+3}{8}=\frac{24+3}{8}=\frac{27}{8}[/tex]
[tex]3\frac{3}{4}\Rightarrow \frac{4\cdot 3+3}{4}=\frac{12+3}{4}=\frac{15}{4}[/tex]
To find the total quarts needed, we will add both amounts as:
[tex]\text{Total quarts needed}=\frac{27}{8}+\frac{15}{4}[/tex]
Let us make a common denominator.
[tex]\text{Total quarts needed}=\frac{27}{8}+\frac{15\cdot 2}{4\cdot 2}[/tex]
[tex]\text{Total quarts needed}=\frac{27}{8}+\frac{30}{8}[/tex]
[tex]\text{Total quarts needed}=\frac{27+30}{8}[/tex]
[tex]\text{Total quarts needed}=\frac{57}{8}[/tex]
[tex]\text{Total quarts needed}=7\frac{1}{8}[/tex]
Therefore, Tyrone needs [tex]7\frac{1}{8}[/tex] quarts in all.
