Question

the cost of 6 sandwhiches and 4 drinks is $53. the cost of 4 sandwhiches and 6 drinks is $47. how much does one sandwhich cost

Answer 1

6s+4d=$53

4s+6d=$47

Multiply 6 in the first equation which is

36s+24d=$318

Multiply -4 in the second equation which is

-16s-24d=$-188

Then..

36s+24d=$318

-16s-24d=$-188

You cancel out the -24d and +24d

36s=$318

-16s=$-188

Do the math..

20s=$130

Divide 20 by both sides and answer...

s=$6.5