Ask Question
23 August, 13:03

The Royal Fruit Company produces two types of fruit drinks. The first type is 55% pure fruit juice, and the second type is 85% pure fruit juice. The company is attempting to produce a fruit drink that contains 60% pure fruit juice. How many pints of each of the two existing types of drink must be used to make 60 pints of a mixture that is 60% pure fruit juice?

+1
Answers (1)
  1. 23 August, 13:54
    0
    Answer: We need we need 10 pints of the second fruit juice (85% pure fruit juice). Therefore, we need

    (60-10 = 50) pints of the first fruit juice (55% pure fruit juice).

    Step-by-step explanation:

    Let x be number of pints of the first fruit drink which is (55% pure fruit juice), while y will be the number of pints of second fruit drink (85% pure fruit juice).

    We know that there are 60 total pints. Therefore:

    x + y = 60

    We also know that 60% of the 60 pints will be pure fruit juice, and the pure fruit juice will either come from

    x or y.

    For x pints of first juice, there is 0.55x pure fruit juice while for y pints of first juice, there is 0.85y pure fruit juice. Therefore, we get:

    0.55x + 0.85y = 60 * 0.6

    0.55x + 0.85y = 36

    We will get rid of the decimals by multiplying through by 100. This will be:

    55x + 85y = 3600

    Combining both equations

    x + y = 60 ... i

    55x + 85y = 3600 ... ii

    Multiply equation i by 55

    Multiply equation ii by 1

    55x + 55y = 3300

    - 55x + 85y = 3600

    Then subtract

    -30y = - 300

    y = 10

    Therefore, we need we need 10 pints of the second fruit juice (85% pure fruit juice). Therefore, we need

    (60-10 = 50) pints of the first fruit juice (55% pure fruit juice).
Know the Answer?
Not Sure About the Answer?
Get an answer to your question ✅ “The Royal Fruit Company produces two types of fruit drinks. The first type is 55% pure fruit juice, and the second type is 85% pure fruit ...” in 📙 Mathematics if there is no answer or all answers are wrong, use a search bar and try to find the answer among similar questions.
Search for Other Answers