In a certain clothing store, 3 shirts and 5 ties cost $60, and 2 shirts and 3 ties cost $39. What is the cost of each shirt?

Question

5687 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-05-20T15:44:17

shirts cost $15
ties cost $3

s=shirts
t = ties

3 shirts and 5 ties cost $60:
#3s+5t = 60#

2 shirts and 3 ties cost $39:
#2s+3t=39#

#-2(3s+5t = 60)#
#3(2s+3t=39)#

#-6s-10t = -120#
#6s+9t=117#

add equations together:

#-t = -3#

#t=3#

so ties cost $3, use either of the original equations to solve the price of shirts:

#2s+3*(3)=39#

#2s+9=39#

#2s=30#

#s=15#

so shirts cost $15