Question

A gas station sells a total of 4500 gallos of regular 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? How many gallons sold were premium gas?

Answer 1

A)Equation that represents the situation : 7x+2x=4500

B)Regular gas sold = 7x = 7(500)=3500

Premium gas sold = 2x =2(500)=1000

Explanation:

We are given that The ratio of gallons of regular gas sold to gallons of premium gas sold is 7:2.

Let the ratio be x

Regular gas sold = 7x

Premium gas sold = 2x

We are also given that A gas station sells a total of 4500 gallons of regular and premium gas in one day.

So, 7x+2x=4500

9x=4500

x=500

A)Equation that represents the situation : 7x+2x=4500

B)Regular gas sold = 7x = 7(500)=3500

Premium gas sold = 2x =2(500)=1000

Answer 2

linear equation :x + y = 4500

gallons of regular gas = 3500

gallons of premium gas = 1000