Question

10) Use the information to the right to answer the questions below. Meals Deals Meal A 5 burgers and 3 order of fries $35.50 Meal B 2 burger and 6 orders of fries $25.00 a) Write a system of 2 equations to represent the meal deals. b) Solve the system to find the cost of a burger and the cost of an order of fries.

Answer 1

Let burger be represented with b, and order of fries be represented with f.

So, the system of equations are;

5b + 3f = 35.50 .....eqn(1)

2b + 6f = 25.00 ......eqn(2)

By elimination method of solving simultaneous equations,

2(5b + 3f = 35.50) ; 10b + 6f = 71.00 .....eqn(3)

5(2b + 6f = 25.00) ; 10b + 30f = 125.00 .....eqn(4)

Subtracting eqn(3) from eqn(4), we get,

24f = 54

Dividing both sides by 24, we get,

f = 54/24 = 2.25 =$2.25

To find the value of b:

We substitute 2.25 for f in eqn(2):

2b + 6(2.25) = 25

2b = 25 - 13.50

2b = 11.50

Dividing both sides by 2, we get,

b =11.50/2

b = 5.75 = $5.75

The solution is;

the cost of a burger is $5.75