Question

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?

Answer 1

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

Answer 2

Answer:
`(17)/(30)`

Explanation:

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

`(1)/(2)+(2)/(5)=(5+4)/(10)=(9)/(10)\\`

Then you subtract the fruit punch that the guests drank:

`(9)/(10)-(1)/(3)=(27-10)/(30)=(17)/(30)`

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