Question

The Town Recreation Department ordered a total of 100 baseballs and bats for the summer baseball
camp. Baseballs cost $4.50 each and bats cost $20 each. The total purchase was $822. How many of
each item was ordered?

Answer 1

Answer:

76 baseball bats

24 balls

Step-by-step explanation:

let x no. of balls are ordered

let y no. of bats are ordered

1 ball costs $4.50 so X no. of balls will cost $4.50x

1 bat costs $20 so y no. of bats will cost $20y

sum of price of bats and ball is equal to $822

i.e $4.50x + $20y = $822 ----------(1)

total no. of bats and balls are 100

therefore, x + y = 100--------(2)

on multiplying (2) by 20 we get

20x + 20y = 2000-------(3)

now subtract equation (3) and (1)

20x + 20y = 2000

4.5x +20y = 822

- -. -

15.5x = 1178

X= 1178÷15.5

X= 76, now put the value of X in (2)

76 + y = 100

y = 100 - 76

y = 24

there 76 bats and 24 balls were ordered

hope you understood if not lemme know in the comments