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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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?

a. System of linear equations that represents this situation is .

b. 3500 gallons of regular gas and 1000 gallons of premium gas was sold.

Step-by-step explanation:

Given:

Total Number of gallons of gas sold =4500 gallons.

The ratio of gallons of regular gas sold to gallons of premium gas sold is 7 : 2.

we need to find the amount of regular gas and premium gas sold in gallons.

Solution:

Let the Multiplicative factor be denoted by 'x'.

So Amount of regular gas sold =

Amount of premium gas sold =

So we can say that;

Total gas sold sold is equal to sum of Amount of regular gas sold and Amount of premium gas sold.

framing in equation form we get;

Hence system of linear equations that represents this situation is .

On Solving the above equation we get;

Dividing both side by 9 we get;

So we can say that;

Amount of regular gas sold =

Amount of premium gas sold =

Hence 3500 gallons of regular gas and 1000 gallons of premium gas was sold.

step-by-step explanation:

i think you should think about the question and not look online.

step-by-step explanation: