Question

Last year a baseball team paid $20 per bat and $12 per glove spending a total of $1040 this year the prices went up to $25 per bat and $16 per glove. The team spent $1350 to purchase the same amount of equipment as last year.

How many bats and gloves did the team purchase each year?

Answer 1

20x + 12y = 1040
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-12y' to each side of the equation. 20x + 12y + -12y = 1040 + -12y Combine like terms: 12y + -12y = 0 20x + 0 = 1040 + -12y 20x = 1040 + -12y Divide each side by '20'. x = 52 + -0.6y
thats the first part
then we have
25x + 16y = 1350
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-16y' to each side of the equation.
25x + 16y + -16y = 1350 + -16y
Combine like terms:
16y + -16y = 0 25x + 0 = 1350 + -16y
25x = 1350 + -16y
Divide each side by '25'. x = 54 + -0.64y