Question

Lena made 33 ounces of a fruit drink mix using pineapple juice and grapefruit juice. The number of ounces of pineapple juice in the fruit drink mix is 3 more than 4 times the number of ounces of grapefruit juice in the fruit drink mix. Solve this system for the number of ounces of pineapple and grapefruit juice. Write your answer as a coordinate in the space provided.

Answer 1

Lena used 27 ounces of pineapple juice and 6 ounces of grapefruit juice in her fruit drink mix. This was determined by setting up and solving a system of equations based on the information given.

Step-by-step explanation:

Lena has made 33 ounces of a fruit drink mix using pineapple juice and grapefruit juice. To find the number of ounces of pineapple juice (P) and grapefruit juice (G) in the mix, we can set up a system of equations based on the information given:

• The total amount of juice is 33 ounces: P + G = 33.
• The amount of pineapple juice is 3 more than 4 times the grapefruit juice: P = 4G + 3.

By substituting the second equation into the first, we can solve for G:

• P + G = 33
• (4G + 3) + G = 33
• 5G + 3 = 33

Subtract 3 from both sides:

• 5G = 30

Divide by 5:

• G = 6

Now, substitute G back into the second equation to find P:

• P = 4(6) + 3
• P = 24 + 3
• P = 27

Therefore, Lena used 27 ounces of pineapple juice and 6 ounces of grapefruit juice. The answer as a coordinate is (27, 6).