Posted by **Anonymous** on Monday, August 12, 2013 at 2:12am.

Ez stop fast gas sold 10957 worth of gasoline yesterday. Redular grade sold for 2.30 a gallon and premium grade sold for 2.55 a gallon. If the station sold 420 more regular than premium, how many gallons of regular were sold

- math -
**Jai**, Monday, August 12, 2013 at 2:57am
Represent the unknown with variables:

Let x = amount of premium grade gasoline sold in gallons

Let x+420 = amount of regular grade gasoline sold in gallons (according to the third statement)

Then we set up the equation. We know that the total worth of gasoline sold is 10,957. Therefore, we multiply the costs per each gallon of regular & premium grade by their respective amounts and get the total:

2.55x + (2.30)(x+420) = 10957

Solving for x,

2.55 + 2.3x + 966 = 10957

4.85x = 10957 - 966

4.85x = 9991

x = 2060 gallons of premium grade, and

x+420 = 2480 gallons of regular grade

Hope this helps~ :)

- math -
**Kayla**, Monday, August 19, 2013 at 5:10pm
gbjgv

- teasley middle school -
**brandon**, Wednesday, August 21, 2013 at 6:37pm
Equations

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