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

Answer:

Charges of Turkey is $6.25

Charges of French Fries is $1.90

Step-by-step 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:

$F = 8.15 - T$

$F = 8.15 - 6.25$

$F = 1.90$