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

Answer:

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

Step-by-step 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:

$6x + 4y = 14.10$

$6x + 9.15 - 3x = 14.10$

$3x = 4.95$

$x = \frac{4.95}{3}$

$x = 1.65$

And

$4y = 9.15 - 3x$

$4y = 9.15 - 3*1.65$

$4y = 4.2$

$y = \frac{4.2}{4}$

$y = 1.05$

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