Question

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?

Answer 1

`$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`