Andrea buys 4 shirts and 3 pairs of pants for $85.50. She returns the next day and buys 3 shirts and 5 pairs of pants for $115. What is the price of each pants

Question

Andrea buys 4 shirts and 3 pairs of pants for $85.50. She returns the next day and buys 3 shirts and 5 pairs of pants for $115. What is the price of each pants and shirt?

Answer 1

s=price of the shirt

p=price of the pants

 

4s+3p=85.5

3s+5p=115

multiply equation 1 by 3 and multiply equation 2 by 4 to get...

12s+9p=256.5

12s+20p=460

subtract first new equation from second new equation

11p=203.5

p=203.5/11

p=$18.50 for a pair of pants

4s+3(18.50)=85.5

4s+55.5=85.5

4s=85.5-55.5

4s=30

s=30/4

s=$7.50 for a shirt