Question

In a certain clothing store, 4 shirts and 6 ties cost $70, and 2 shirts and 4 ties cost $42. What is the cost of each tie?

$7
$12
$18

Answer 1

$7

Explanation:

Your two equations are ...

• 4s +6t = 70
• 2s +4t = 42

Double the second equation and subtract the first:

2(2s +4t) -(4s +6t) = 2(42) -(70)

2t = 14 . . . . . simplify

t = 7 . . . . . . . divide by 2

The cost of each tie is $7.