Answer:
76 baseballs and 24 bats.
Step-by-step explanation:
Total number of baseballs and bats = 100
Cost of baseball each = $4.50
Bats cost each = $20
Total cost = $822
This results in a simultaneous equation that can be solved by elimination or substitution method.
Let the number of baseballs purchased t
and the number of bats purchased be g
From the total numbers purchased,
t + g = 100
from g = 100 - t
From the total cost incurred
4.5t + 20g = 822
4.5t + 20(100 - t) = 822
4.5t + 2000 - 20t = 822
15.5t = 2000 - 822
15.5t = 1178
t = 1178/15.5
t = 76
But g = 100 - t
g = 100 - 76
g = 24
Therefore, the town recreation department ordered 76 baseballs and 24 bats.
