Answer:
Alex can buy 12 bottles of lemon-lime soda and 6 bottles of cranberry juice.
Step-by-step explanation:
Since Alex found a new fruit punch recipe that calls for cranberry juice and lemon-lime soda, if cranberry juice costs $ 3.60 per bottle and lemon-lime soda costs $ 1.40 per bottle and the recipe calls for 2 times as many bottles of lemon-lime soda as cranberry juice, to determine at most how many bottles of cranberry juice can he buy if he only has $ 38.40 the following calculation must be performed:
20 x 1.40 + 10 x 3.60 = 64
10 x 1.40 + 5 x 3.60 = 32
12 x 1.40 + 6 x 3.60 = 38.40
Therefore, Alex can buy 12 bottles of lemon-lime soda and 6 bottles of cranberry juice.