Question

Flynn bought 3 cheeseburgers and 4 sodas for $24.50. Catherine bought one cheeseburger and two sodas for $9.00. Set up you what the cost of one cheeseburgers is? *Do not include $ signs in your answer Type your answer... Previous

Answer 1

Flynn bought 3 cheeseburgers and 4 sodas for $24.50.

3 b + 4 s = 24.50

Where:

b= price of a cheeseburger

s= price of a soda

Catherine bought one cheeseburger and two sodas for $9.00

b + 2s = 9

We have the system of equations:

3 b + 4 s = 24.50

b + 2s = 9

Solve the second equation for s:

b+2s=9

2s= 9 -b

s= (9-b)/2

s= 4.5-0.5b

Replace s on the first equation and solve for b

3b+ 4 (4.5-0.5b) = 24.50

3b + 18 - 2b = 24.50

3b -2b = 24.50-18

b= 6.5

Cost of one cheeseburger 6.5