## System of equations confusing.

Quadratic equations and inequalities, variation equations, function notation, systems of equations, etc.
Byteofserial
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Joined: Tue Jun 04, 2013 10:30 pm
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### System of equations confusing.

Currently working on system of equations. A certain word problem is confusing me.
A school made \$1220 on its fundraiser by washing cars and recycling can.
Students were paid an average of \$55 per car wash, and 35 for picking up cans.
There are four less people washing cars than picking up cans.
Write a system of equations to determine how many car washers there are.

jg.allinsymbols
Posts: 72
Joined: Sat Dec 29, 2012 2:42 am
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### Re: System of equations confusing.

Currently working on system of equations. A certain word problem is confusing me.
A school made \$1220 on its fundraiser by washing cars and recycling can.
Students were paid an average of \$55 per car wash, and 35 for picking up cans.
There are four less people washing cars than picking up cans.
Write a system of equations to determine how many car washers there are.
Let x=amount of car washers
Let y= amount of can pickers

four less people washing cars than picking cans,$y-4=x$

Account for the "how much school made": $x*55+y*35=1220$
and by substitution,$(y-4)*55+y*35=1220$