Question

A university student combined a cola drink that costs $0.50 per ounce with a cherry drink that costs $1.70 per ounce. How many ounces of each were used to make a combined mixture of 10 ounces costing $1.34 per ounce? If u was the amount of cherry drink, an equation that models the problem is: 1.70(O) + 0.50(O) = 1.34([ The amount of cherry drink was ounces. The amount of cola drink was ounces.

Answer 1

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Answer:

• cherry: 7 oz
• cola: 3 oz

Step-by-step explanation:

Let u represent the amount (ounces) of cherry drink. Then the amount of cola is (10-u). The total cost of the cherry cola drink is ...

  0.50(10 -u) +1.70u = 1.34(10)

  1.20u +5 = 13.40 . . . . . . simplify

  1.20u = 8.40 . . . . . . . . subtract 5

  u = 7 . . . . . . . . . . . . . divide by 1.20

The amount of cherry drink was 7 ounces.

The amount of cola drink was 3 ounces.