Question

Bakersfield parks and recreation department ordered a total of 100 baseballs and bats for the summer basketball camp. Baseballs cost $4.50 each and bats cost $20 each. The total purchase was $822. How many of each were ordered?

Answer 1

Answer: 76 baseballs and 24 bats were ordered.

Step-by-step explanation:

Let x represent the number of baseballs that were ordered for the summer basketball camp.

Let y represent the number of bats that were ordered for the summer basketball camp.

Bakersfield parks and recreation department ordered a total of 100 baseballs and bats for the summer basketball camp. This means that

x + y = 100

Baseballs cost $4.50 each and bats cost $20 each. The total purchase was $822. This means that

4.5x + 20y = 822 - - - - - - - - - - -1

Substituting x = 100 - y into equation 1, it becomes

4.5(100 - y) + 20y = 822

450 - 4.5y + 20y = 822

- 4.5y + 20y = 822 - 450

15.5y = 372

y = 372/15.5

y = 24

x = 100 - y = 100 - 24

x = 76