Question

The cost of 6 sandwiches and 4 drinks is $53. The cost of 4 sandwiches and 6 drinks is $47. How much does one sandwich cost?

Answer 1

In this question, we're trying to find cost of one sandwich.

To find this, we must make a systems of equation from the given information:

We would represent sandwiches as "s" and drinks as "d".

Systems of equations:

6s + 4d = 53

4s + 6d = 47

Solve for s:

6(6s + 4d = 53)

-4(4s + 6d = 47)

36s + 24d = 318

-16s - 24d = -188

--------------------------

20s = 130

Divide both sides by s

s = 6.50

This means that one sandwich costs $6.50

Answer:

$6.50