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 [tex]6x + 4y = 14.10[/tex]
3 burgers and 4 gatorades for $9.15.
This means that [tex]3x + 4y = 9.15[/tex]
Will write 4y as a function of x.
[tex]4y = 9.15 - 3x[/tex]
Replacing in the first equation:
[tex]6x + 4y = 14.10[/tex]
[tex]6x + 9.15 - 3x = 14.10[/tex]
[tex]3x = 4.95[/tex]
[tex]x = \frac{4.95}{3}[/tex]
[tex]x = 1.65[/tex]
And
[tex]4y = 9.15 - 3x[/tex]
[tex]4y = 9.15 - 3*1.65[/tex]
[tex]4y = 4.2[/tex]
[tex]y = \frac{4.2}{4}[/tex]
[tex]y = 1.05[/tex]
The cost of a burger is $1.65 and the cost of a gatorade is $1.05.
