JUSTIFY REASONING The owner of a juice stand wants to make a new juice drink. He would like to mix Tropical Breeze, t, and Kona Cooler, k, to make 10 quarts of a new drink that is 40% pineapple juice. Juice Drinks
Tropical Breeze 20% pineapple juice
Kona Cooler 50% pineapple juice


a. Make a table to help write a system of equations that the owner of the juice stand can solve to determine the amount of each drink he should use to make the new drink.



Tropical Breeze Kona Cooler Total
Amount of Juice (qt) t
k
10
Amount of Pineapple Juice (qt)
0.2t
0.5k
0.4
Part B
Fill in the blank question.
b. Solve the system and explain what your solution represents. Enter your solution as a decimal rounded to the nearest hundredth.

(
15.3
,
5.3
); The owner should mix
15.3
qt of Tropical Breeze and
5.3
qt of Kona Cooler.



c. Explain how you know your answer is correct.
qt (Tropical Breeze) +
qt (Kona Cooler) = 10 qt, so the total amount is correct, and 0.2(
qt) + 0.5(
qt) = 4 qt, so the amount of pineapple juice in the new drink is correct.