Answer:
20 batting cages softballs
12 indoor practice softballs
(20, 12)
Explanation:
let "x" be the number of batting cages softballs
let "y" be the number of indoor practice softballs
x + y = 32 Equation for total softballs
4.25x + 3.95y = 132.40 Equation for cost
Rearrange the equation for total softballs. Isolate one variable.
x + y = 32
y = 32 - x Use this equation to replace "y" in equation for cost
4.25x + 3.95y = 132.40 Equation for cost
4.25x + 3.95(32 - x) = 132.40 Distribute 3.95 over the brackets
4.25x + 126.40 - 3.95x = 132.40 Collect like terms on left side
126.40 + 0.3x = 132.40 Like terms were (4.25x - 3.95x = 0.3x)
126.40 - 126.40 + 0.3x = 132.40 - 126.40 Subtract 126.40 on both sides
0.3x = 6
0.3x/0.3 = 6/0.3 Divide both sides by 0.3
x = 20 Number of batting cages balls
Substitute "x" for 20 in any equation. Isolate "y".
x + y = 32
20 + y = 32
20 - 20 + y = 32 - 20 Subtract 20 from both sides
y = 12 Number of indoor practice balls
The solution is when x is 20 and y is 12. As an ordered pair, or coordinate point, the solution is (20, 12).
This means the coach will buy 20 batting cages softballs and 12 indoor practice softballs.