Q:

Martha combined different amounts of oramge juice, pineapple juice, and strawberry juice to make 1 850ml of fruit punch. The amount of orange juice was x ml.The amount of pineapple juice was 100 ml more tjan the amount of orange juice annd the amount of strawberry juice was half the amount of orange juice. This is represented in the equation : x+(×+100)+1/2×=1850. What was the difference in the amounts of pineapple juice and strawberry juice martin combined?

Accepted Solution

A:
We have the following variable:
 x = The amount of orange juice
 We have the following equation:
 x + (× + 100) + 1/2 × = 1850
 We clear x:
 (5/2) x + 100 = 1850
 (5/2) x = 1850 - 100
 (5/2) x = 1750
 x = 1750 / ((5/2))
 x = 700 ml
 pineapple juice = × + 100 = 700 + 100 = 800 mL
 strawberry juice = 1/2 × = (1/2) 700 = 350 mL
 The difference is:
 800 - 350 = 450 mL
 Answer:
 The difference in the amounts of pineapple juice and strawberry juice martin combined was:
 450 mL