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?

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Answer 1 · 2017-04-27T16:29:37

#$15.05#

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#