125k views
0 votes
Unleaded gas and supreme gas sell for different prices per liter.

Suppose that 2 liters of unleaded gas and 3 liters of supreme gas cost a total of $2.52.
Five liters of unleaded gas and 4 liters of supreme gas cost a total of $4.48.
a. What is the price per liter of each kind of gas?

1 Answer

5 votes

Final answer:

To determine the price per liter of unleaded and supreme gas, set up a system of linear equations using the provided information and solve it.

Step-by-step explanation:

To find the price per liter of each kind of gas, we can set up a system of linear equations based on the information provided. Let u represent the price per liter of unleaded gas and s represent the price per liter of supreme gas.

The first equation comes from the statement that 2 liters of unleaded gas and 3 liters of supreme gas cost a total of $2.52, which can be written as:

2u + 3s = 2.52

The second equation is based on the statement that 5 liters of unleaded gas and 4 liters of supreme gas cost a total of $4.48, so:

5u + 4s = 4.48

Solving this system of equations simultaneously will give us the price per liter of unleaded and supreme gas. This can be done by using substitution or elimination methods.

User Roomsg
by
7.0k points