Question

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 1

76 baseballs and 24 bats were ordered.

Step-by-step explanation:

Let's assume that 'x' represents the number of baseballs ordered and 'y' represents the number of bats ordered.

We can set up two equations to solve for 'x' and 'y':

1. x + y = 100 (since the total number of items ordered is 100)
2. 4.50x + 20y = 822 (since the total cost of the purchase is $822)

We can solve the system of equations using the substitution or elimination method. Let's use the elimination method by multiplying the first equation by 4.50:

1. 4.50x + 4.50y = 450
2. 4.50x + 20y = 822

Subtracting the first equation from the second equation eliminates 'x' and we can solve for 'y':

15.50y = 372

y = 24

Substituting the value of 'y' back into the first equation, we can solve for 'x':

x + 24 = 100

x = 100 - 24

x = 76

Therefore, 76 baseballs and 24 bats were ordered.