The town recreation department ordered a total of 100 baseballs and bats for the summer baseball camp. Baseballs cost $4.50 each and balls cost $20 each. The total purchase was $822. How many of each item was ordered

Answer:76 baseballs and 24 bats.Step-by-step explanation:Total number of baseballs and bats = 100Cost of baseball each = $4.50Bats cost each = $20 Total cost = $822This results in a simultaneous equation that can be solved by elimination or substitution method.Let the number of baseballs purchased tand the number of bats purchased be gFrom the total numbers purchased,t + g = 100from g = 100 - tFrom the total cost incurred4.5t + 20g = 8224.5t + 20(100 - t) = 8224.5t + 2000 - 20t = 82215.5t = 2000 - 82215.5t = 1178t = 1178/15.5t = 76But g = 100 - tg = 100 - 76g = 24Therefore, the town recreation department ordered 76 baseballs and 24 bats.