Question

Bonnie bought 12 bottles of pineapple juice and apple juice. The bottles of pineapple juice, p, were on sale for $1 per bottle, and the bottles of apple juice, a, were on sale for $1.75 per bottle. Bonnie spent a total of $15. How many bottles of pineapple juice and apple juice did Bonnie buy?

Answer 1

Explanation:

Let's use a system of equations to solve the problem.

We know that Bonnie bought a total of 12 bottles, so:

p + a = 12

We also know that Bonnie spent a total of $15, so:

1p + 1.75a = 15

We can solve this system of equations by substitution or elimination. Here, we'll use substitution:

p = 12 - a (from the first equation)

1(12 - a) + 1.75a = 15 (substituting p in the second equation)

12 - a + 1.75a = 15

0.75a = 3

a = 4

So Bonnie bought 4 bottles of apple juice. We can find the number of bottles of pineapple juice by substituting a=4 into the first equation:

p + 4 = 12

p = 8

Therefore, Bonnie bought 8 bottles of pineapple juice and 4 bottles of apple juice.