Question

A fruit punch recipe uses 35% pinapple juice. The remaining ingredients are other juices. A caterer uses 14 cups of pineapple juice to make this fruit punch.

How many total cups of the fruit punch did the caterer make?

Answer 1

If 35% of the fruit punch is pineapple juice, then the remaining 65% is made up of other juices.
Let T be the total number of cups of the fruit punch.
The amount of pineapple juice is 35/100*T=14 cups.
The other juices make up 65/100*T cups.
Thus, T=14 cups / (35 /100)=14/(35/100)=14*(100/35)=(2*2*7)*(2*5)=2*2*2*5*7=2^3*(5*7)=8*35=<<8*35=280>>280 cups. Answer: \boxed{280}.