Question 1076603

A gas station sells a total of 4500 gallons of regular gas and premium gas in one day. The ratio of gallons of regular gas sold to gallons of premium gas sold is 7 : 2.

a. Write a system of linear equations that represents this situation.

b. How many gallons sold were regular gas? premium gas?
<pre>Let multiplicative factor be x
Then amount of regular sold was: 7x
Amount of premium sold was: 2x
We then get: 7x + 2x = 4,500
Solve this for x, and the multiply that value by 7 to get the amount of regular thatw's sold.
Multiply the value for x by 2 to get the amount of premium thatw's sold.

<b><u>OR</b></u>

Amount of regular sold: {{{matrix(1,7, 7/(7 + 2), "*",  "4,500", or, (7)/(9), "*", "4,500")}}}

Amount of premium sold: {{{matrix(1,7, 2/(7 + 2), "*",  "4,500", or, (2)/(9), "*", "4,500")}}}

Either way, you should get: {{{highlight_green(matrix(2,4, "3,500", gallons, of, regular, "1,000", gallons, of, premium))}}}