Question

at the dade county fair, the williams family bought 6 burgers and 4 gatorades for $14.10. the jackson family bought 3 burgers and 4 gatorades for $9.15.find the price of a burger and the price of a gatorade sn: i need help like really fast

Answer 1

The cost of a burger is $1.65 and the cost of a gatorade is $1.05.

Explanation:

We can solve this question using a system of equations.

I am going to say that:

x is the price of a burger.

y is the price of a gatorade.

6 burgers and 4 gatorades for $14.10

This means that
`6x + 4y = 14.10`

3 burgers and 4 gatorades for $9.15.

This means that
`3x + 4y = 9.15`

Will write 4y as a function of x.

`4y = 9.15 - 3x`

Replacing in the first equation:

`6x + 4y = 14.10`

`6x + 9.15 - 3x = 14.10`

`3x = 4.95`

`x = (4.95)/(3)`

`x = 1.65`

And

`4y = 9.15 - 3x`

`4y = 9.15 - 3*1.65`

`4y = 4.2`

`y = (4.2)/(4)`

`y = 1.05`

The cost of a burger is $1.65 and the cost of a gatorade is $1.05.