One day you bought 3 ties and 4 belts and the cost was $ 125. Another day you bought 5 ties and 2 belts and the cost was $115. Find the cost of each tie and each belt.

Answer 1

3T + 4B = 125

5T + 2B = 115

multiply 1st by 5, 2nd by 3

15T +20B = 625

15T + 6B = 345

subtract

14B = 280

B = 280/20 = $14 per each Belt

T = (125-4(14)/3 = (125 - 56)/3

= (69)/3 = $23 per each Tie

3T+4B = 125

3(23) + 4(14)

= 69+56

= 125

Belt Cost =$14, Tie Cost = $23