The Laredo Sports Shop sold 10 balls, 3 bats, and 2 bases for $99 on Monday. On Tuesday they sold 4 balls, 8 bats, and 2 bases for $78. On Wednesday they sold 2 balls, 3 bats, and 1 base for $33.60. What are the prices of 1 ball, 1 bat, and 1 base?

1 Answer
Apr 27, 2017

$15.05

Explanation:

let say #A = ball, B =bat and C = base.
we can conclude as,

10A + 3B + 2C = 99 ->i
4A + 8B + 2C = 78->2A + 4B + C = 39->ii
2A + 3B + C =33.60->iii

we use silmutaneous equation to solve
ii - iii
B = $5.30

5*iii -i
12B + 3C = 69, plug in B =5.30 in this equation.
12(5.30) + 3C = 69
3C = 5.40
C = $1.80

Plug in B and C in any equations above.eg iii
2A + 3(5.30) + 1.80 = 33.60
2A = 33.60 -15.90 - 1.80
2A = 15.90
A= $7.95

therefore A + B + C = $7.95 + $5.30 + $1.80 = $15.05