In making a fruit punch for a party, you mixed 1⁄2 gallon of grape juice with 2⁄5 gallon of orange juice. The guests drank 1⁄3 of a gallon. How many gallons of punch do you have left?

Respuesta :

1/2+2/5=5/10+4/10=9/10
9/10-1/3=27/30-10/30=17/30

Answer: [tex]\frac{17}{30}[/tex]

Step-by-step explanation:

First, you calculate how many gallons of fruit punch you had initially, by adding the gallons of grape juice and orange juice:

[tex]\frac{1}{2}+\frac{2}{5}=\frac{5+4}{10}=\frac{9}{10}\\[/tex]

Then you subtract the fruit punch that the guests drank:

[tex]\frac{9}{10}-\frac{1}{3}=\frac{27-10}{30}=\frac{17}{30}[/tex]

So, you have 17/30 of a gallon of fruit punch left.