SOLUTION: the price of one brand of shoe is $5 more than another brand. if the prices of two pairs of shoes add to $230,how much does each pair cost?

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: the price of one brand of shoe is $5 more than another brand. if the prices of two pairs of shoes add to $230,how much does each pair cost?      Log On


   

Question 160942: the price of one brand of shoe is $5 more than another brand. if the prices of two pairs of shoes add to $230,how much does each pair cost?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Call the price of the shoes A and B respectively.
1.B=A%2B5
2.A%2BB=230
Use eq. 1 in eq. 2 and solve for A.
2.A%2BB=230
A%2B%28A%2B5%29=230
2A%2B5=230
2A=225
A=112.5
From eq.1,
B=A%2B5
B=112.5%2B5=117.5
Pair A cost $112.50 and pair B costs $117.50.