SOLUTION: 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

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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?
Found 2 solutions by Boreal, MathTherapy:
Answer by Boreal(15235)   (Show Source): You can put this solution on YOUR website!
7R+2P=4500
The 7:2 ratio adds to 9,and 5 times 9 is 45.
Therefore, 35:10 is the same ratio and 3500:1000 is also the same ratio, which adds to 4500.
3500 gallons of regular at 1000 gallons of premium.
System:
Reg+Premium=total
Reg=(7/2)P
Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!

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?
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.



OR



Amount of regular sold: 



Amount of premium sold: 



Either way, you should get:  

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