SOLUTION: Frank bought 2 shirts and 1 pair of slacks for a total of $55. If he had bought 1 shirt and 2 pairs of slacks, he would have paid $68. What was the price of each shirt and each pai

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Frank bought 2 shirts and 1 pair of slacks for a total of $55. If he had bought 1 shirt and 2 pairs of slacks, he would have paid $68. What was the price of each shirt and each pai      Log On


   

Question 847582: Frank bought 2 shirts and 1 pair of slacks for a total of $55. If he had bought 1 shirt and 2 pairs of slacks, he would have paid $68. What was the price of each shirt and each pair of slacks?
I tried:
2s+1p=$55
1s+2s=$68
the answer was totally off.
not sure how to set this one up

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

I.   2s+1p=$55

II.  1s+2+highlight_green%28p%29=$68   |Note used variable s rather than p



 2s+1p=$55

-2s - 4p = -$136     |Multiplying EQ II thru by -2 and adding to the 1st to eliminate s  (68*(-2) = -136)

        -3p = - $81, 

         p = $27, the cost of the slacks  

    2s%2B27+=+55  s = $14,cost of a shirt