Math
posted by Ann .
I'm having a hard time coming up with the right equation to solve this one.
EZ Stop Fast Gas sold $10,957 worth of gasoline yesterday. Regular grade sold for $2.30 a gallon and premium grade sold for $2.55 a gallon. If the station sold 420 more gallons of regular than of premium, how many gallons of regular were sold?

x=Regular Grade
y=Premium Grade
x(2.30)+y(2.55)=10,957
x=y+420
y+420(2.30)+y(2.55)=10,957
2.30y+966+2.55y=10,957
4.85y+966=10,957
4.85y=9991
y=2,060 Gallons of Premium Grade
x=2,060+420
x=2,480 Gallons of Regular Grade
Hope this helps :) 
5/6

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