Question

Martha makes the following fruit punch recipe for an upcoming school party.

Fruit Punch
a. pineapple juice
b. cranberry juice
c. lemon-lime soda: 5 fewer cups than pineapple juice
d. orange juice: twice as much as pineapple juice

1. Last time Martha made fruit punch, she used x cups of pineapple juice and y cups of cranberry juice. What expression represents the total number of cups of punch
2. How many more cups of orange juice than lemon-lime soda were in Martha's fruit punch the last time?
3. Last time, Martha filled 12 pitchers with the fruit punch. If she distributed the punch evenly, what expression represents the number of cups in each pitcher?

Answer 1

Final Answers:

a. Total cups of punch: 1. x + y + 2x + (x - 5) = 4x + y - 5

b. Orange juice - lemon-lime soda: 2. 2x - (x - 5) = x + 5

c. Cups per pitcher: 3. (4x + y - 5) / 12

Step-by-step explanation:

Total number of cups:

Pineapple juice: x cups

Cranberry juice: y cups

Lemon-lime soda: x - 5 cups

Orange juice: 2x cups

Total: x + y + 2x + (x - 5) = 4x + y - 5

Difference in orange and lemon-lime soda:

Orange juice: 2x cups

Lemon-lime soda: x - 5 cups

Difference: 2x - (x - 5) = x + 5

Cups per pitcher:

Total cups: 4x + y - 5

Number of pitchers: 12

Cups per pitcher: (4x + y - 5) / 12