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, at most how many bottles of cranberry juice can he buy if he only has $38.40

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.