Question

A sandwich store charges a delivery fee to bring lunch to an office building. One office pays $32 for 3 turkey sandwiches. Another office pays $60 for 7 turkey sandwiches. How much does each turkey sandwich add to the cost of the delivery fee? Explain using equations

Answer 1

Let us assume the cost of the delivery fee = $x.

And cost of each turkey sandwich = $y.

Cost of 3 turkey sandwiches including delivery fee = $32.

Therefore, we can setup first equation

x+3y = 32 ---------------(1).

Cost of 7 turkey sandwiches including delivery fee = $60.

Therefore, we can setup second equation

x+7y = 60 ---------------(2).

Subtracting first equation from second equation, we get

x+7y = 60

- (x+3y = 32)

______________

4y = 28.

Dividing both sides, by 4 we get

4y/4 = 28/4.

y = 7.

Plugging y=7 in first equation, we get

x+3(7) = 32

x+ 21 = 32.

Subtracting 21 from both sides, we get

x+ 21-21 = 32-21

x = 11.

Therefore, each turkey sandwich cost $11 add to the cost of the delivery fee $7.