Answer:
A baconator costs $5.50, and a frosty costs $2.50.
Step-by-step explanation:
Let b = price of one baconator.
Let f = price of one frosty.
"3 baconators and 2 frosty cost $21.50"
3b + 2f = 21.5
"5 baconators and 1 frosty cost 30$"
5b + 1f = 30
We have two equations in two unknowns forming a system of equation.
3b + 2f = 21.5
5b + 1f = 30
Rewrite the first equation below. Multiply both sides of the second equation by -2,a nd add the equations.
3b + 2f = 21.5
(+) -10b - 2f = -60
----------------------------
-7b = -38.5
Divide both sides by -7.
b = 5.5
The price of a baconator is $5.50. Now we plug in that price into the first equation and solve for f.
3b + 2f = 21.5
3(5.5) + 2f = 21.5
2f + 16.5 = 21.5
2f = 5
f = 2.5
Answer: A baconator costs $5.50, and a frosty costs $2.50.
