Question

At Freddy's, three steak burgers and two orders of fries cost $18. Two steak burgers and three orders of fries cost $15.75. What is the cost for one steak burger? What is the cost of one order of fries? Write a system of equations and then solve by the method of your choice. ​

Answer 1

The cost for one steak burger is $4.5. The price/ The cost of one order of fries is $2.25

Solution

Let one steak burger cost $x

and one fries order cost $y

Hence, we have

3x+2y = 18-----------1

2x+3y = 15.75-------2

Let us solve the equation simultaneously

multiply equation 1 by 2 and equation 2 by 3

6x + 4y = 36 ---------3

6x +  9y = 47.25 ----4

subtraction 4 from 3 we have

0x -5y = -11.25

Divide both sides by -5

y = 11.25/5

y = $2.25

Put y = 2.25 in equation 1 to find x

3x+2(2.25) = 18-----------1

3x + 4.5 = 18

3x = 18 -4.5

3x = 13.5

x = 13.5/3

x = $4.5

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