A baseball team has home games on Wednesday and Sunday. The two games together earn $4282 for the team. Wednesday game generates $1018 less than Sunday's game. How much money was taken at each game?

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Answer 1 · 2018-03-18T13:58:29

See a solution process below:

First:

We know from the problem:

#w + s = $4282#

We also know:

#w = s - $1018#

Step 1) Substitute #(s - $1018)# for #w# in the first equation we wrote and solve for #s#:

#w + s = $4282# becomes:

#(s - $1018) + s = $4282#

#s - $1018 + s = $4282#

#s + s - $1018 = $4282#

#1s + 1s - $1018 = $4282#

#(1 + 1)s - $1018 = $4282#

#2s - $1018 = $4282#

#2s - $1018 + color(red)($1018) = $4282 + color(red)($1018)#

#2s - 0 = $5300#

#2s = $5300#

#(2s)/color(red)(2) = $5300/color(red)(2)#

#(color(red)(cancel(color(black)(2)))s)/cancel(color(red)(2)) = $2650#

#s = $2650#

Step 2) Substitute #$2650# for #s# in the second equation we wrote and calculate #w#:

#w = s - $1018# becomes:

#w = $2650 - $1018#

#w = $1632#

The Solution Is:

$1,632 was taken at Wednesday's game

$2,650 was taken at Sunday's game