SOLUTION: One store offers 10 soccer balls and 2 soccer ball bags for 155 dollars. Another store offers 12 soccer balls and 3 soccer ball bags for 189 dollars. Write and solve a linear equat

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: One store offers 10 soccer balls and 2 soccer ball bags for 155 dollars. Another store offers 12 soccer balls and 3 soccer ball bags for 189 dollars. Write and solve a linear equat      Log On


   

Question 708873: One store offers 10 soccer balls and 2 soccer ball bags for 155 dollars. Another store offers 12 soccer balls and 3 soccer ball bags for 189 dollars. Write and solve a linear equation to find out how much one soccer ball and one bag costs.
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
These must be two stores of the same company; otherwise each store would charge different prices for an item.

x price of ball
y price of bag

10x+2y=155
AND
12x+3y=189

Divide the second equation by 3:
4x+y=63

Now your system is this:
10x%2B2y=155
4x%2By=63

Subtract 2 times the second equation from the first equation and find value for x.
10x%2B2y-8x-2y=155-126
2x=29
highlight%28x=14.50%29, $14.50 for a soccer ball.

Finding y:
4x+y=63
y=63-4x
y=64-4%2814.5%29
highlight%28y=6.00%29, $6.00 for a soccer bag.