Stefan bought 2 turkey sandwiches and 5 ham sandwiches for a total cost of $40.50. Nancy bought 4 turkey sandwiches and 1 ham sandwich for a total cost of $31.50. The equations below represent Stefan's and Nancy's purchases.

Price of each turkey sandwich = $6.5

price of each ham sandwich = $5.5

2a + 5b = 40.50 ... (i)

4a + b = 31.50 ... (ii)

Step-by-step explanation:

Let

price of each turkey sandwich = a

price of each ham sandwich = b

Stefan purchase

2a + 5b = 40.50 ... (i)

Nancy purchase

4a + b = 31.50 ... (ii)

combine the equations

2a + 5b = 40.50 ... (i)

4a + b = 31.50 ... (ii)

b = 31.50 - 4a

insert the value of b in equation (i)

2a + 5b = 40.50 ... (i)

2a + 5 (31.50 - 4a) = 40.50

2a + 157.5 - 20a = 40.50

-18a = 40.50 - 157.5

-18a = - 117

divide both sides by - 18

a = - 117/-18

a = 6.5

insert the value of a in equation (ii)

4a + b = 31.50 ... (ii)

4 (6.5) + b = 31.50

26 + b = 31.50

b = 31.50 - 26

b = 5.5

Price of turkey sandwich = $6.5

price of ham sandwich = $5.5