Question

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

Answer 1

sandwich = 6.50

Explanation:

Let s = sandwich price

d = drink price

6s + 4d = 53

4s + 6d = 47

Multiply the first equation by 3

18s + 12d = 159

Multiply the second equation by -2

-4s - 12d = -94

Add these equations together

18s + 12d = 159

-8s - 12d = -94

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

10s = 65

Divide by 10

s = 65/10

s =6.5