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 b
at 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?
<span>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 </span>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
Percent of decrease : Original - New / Original so... 80 - 52 / 80 ----> 28/80 .35 multiply by 100 to get percent 35% increase Hope I helped if you have any questions let me know! :)
