Question

A gas station sells regular gas for $2.30 per gallon and premium gas for $3.00 a gallon. At the end of a business day 320 gallons of gas had been sold, and receipts totaled $799. How many gallons of each type of gas had been sold

Answer 1

Answer:

90 gallons premium gas

230 gallons regular gas

Step-by-step explanation:

We can use the given information to form a system of equations.

First, let's set the variables:

Regular gas: r

Premium gas: p

Throughout the entire day, they sold 320 gallons of r and p combined.

r+p=320

Now, regular gas sells for 2.30 per gallon, which can be written as 2.30r

premium can be shown similarly as 3.00p. After all the gallons they sold, they got 799 in total.

2.30r + 3.00p = 799

As a system of equations, it can be written like this...

r+p=320

2.30r + 3.00p = 799

Now solve. (I won't explain much of the steps here but I'll show it. Comment questions if you have any, and I'll try to answer them.)

r=320-p

2.30r + 3.00p = 799

2.30(320-p)+3.00p=799

736+0.7p=799

0.7p=63

p=90 gallons of premium gas

Now we can solve for regular by just plugging in 90 gallons premium into the top equation.

r+p=320

r+90=320

r=230 gallons of regular gas

check work.

230(2.30)+90.0(3.00)=799

529+270=799

799=799