SOLUTION: A sporting goods store sells 2 fishing reels, and 4 fishing rods for $362. Later, they sell 8 fishing reels, and 2 fishing rods for $328. Find the price of each item.

Algebra ->  Test -> SOLUTION: A sporting goods store sells 2 fishing reels, and 4 fishing rods for $362. Later, they sell 8 fishing reels, and 2 fishing rods for $328. Find the price of each item.      Log On


   

Question 430520: A sporting goods store sells 2 fishing reels, and 4 fishing rods for $362. Later, they sell 8 fishing reels, and 2 fishing rods for $328. Find the price of each item.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi

Let x and y represent the cost of the reels and roods respectively

Question the sets Up the following 2 equations ***

 2x  + 4y = 362

 8x  + 2y = 328



 -8x  -16y = -1448

  8x  + 2y = 328

     -14y = -1120

        y = $80  and x = $21    ($362-4*$80)/2

CHECKING our Answer***

 8x  + 2y = 328

8*$21 + 2*$80 =  $168 + $160 = $328