Answer:
The cost of one Falafel wraps sandwich is $5.75
The cost of one Turkey BLT sandwich is $7.5
The cost of one hot Ham Swiss paninis sandwich is $6.5
Step-by-step explanation:
Here we have for the first month
5 Falafel wraps + 15 Turkey BLT + 20 Ham and Swiss = $271.25
8 Falafel wraps + 18 Turkey BLT + 14 Ham and Swiss = $272
12 Falafel wraps + 16 Turkey BLT + 12 Ham and Swiss = $267
To simplify we have;
5·F + 15·T + 20·H = $271.25.......................(1)
8·F + 18·T + 14·H = $272.............................(2)
12·F + 16·T + 12·H = $267 ..........................(3)
Solving the simultaneous equation, we have multiplying equation (1) by 12/5 and subtracting from (3) gives
36·H +20·T = 384............(4)
Multiplying equation (2) by 5/8 and subtracting from (1) gives
45·H + 15·T = 405.............(5)
Subtract equation (4) from equation (5) multiplied by 20/15 gives
24·H = 156
From which H = 13/2 = $6.5
Plugging the value of H in equation (4) gives
36×13/2 + 20·T = 384
20·T = 150,
∴ T = 150/20 = $7.5
Plugging in the values of H and T in equation (1) we have
5·F + 15·7.5 + 20·6.5= 271.25.
∴ 5·F = 271.25 - ( 15·7.5 + 20·6.5) = 28.75
F = $5.75
Therefore,
The cost of one Falafel wraps sandwich = $5.75
The cost of one Turkey BLT sandwich = $7.5
The cost of one hot Ham Swiss paninis sandwich = $6.5.
