Question

The employees of a hardware store ordered lunch from a local delicatessen. The lunch consisted of 4 turkey sandwiches and 7 orders of french fries, for a total cost of $38.30. The next day, the employees ordered 5 turkey sandwiches and 5 orders of french fries totaling $40.75. What does the delicatessen charge for a turkey sandwich? What is the charge for an order of french fries?

Answer 1

Charges of Turkey is $6.25

Charges of French Fries is $1.90

Explanation:

Given

Represent Turkeys with T and French Fries with F;

`4T + 7F = 38.3`

`5T + 5F = 40.75`

Required

Determine the values of T and F

`5T + 5F = 40.75`

Divide through by 5

`T + F = 8.15`

Make F the subject

`F = 8.15 - T`

Substitute 8.15 - T for F in the first equation

`4T + 7F = 38.3`

`4T + 7(8.15 - T) = 38.30`

`4T + 57.05 - 7T = 38.30`

Collect Like Terms

`4T - 7T = 38.30 - 57.05`

`-3T = -18.75`

Solve for T

`T = -18.75/-3`

`T = 6.25`

Recall that:

`F = 8.15 - T`

`F = 8.15 - 6.25`

`F = 1.90`