SOLUTION: I want to buy T-shirts and shorts. T-shirts cost $10 each and shorts cost $15 each. If I have $90 to buy a total of 8 T-shirts and shorts, how many each can you buy? Thank you.

Algebra ->  Customizable Word Problem Solvers  -> Finance -> SOLUTION: I want to buy T-shirts and shorts. T-shirts cost $10 each and shorts cost $15 each. If I have $90 to buy a total of 8 T-shirts and shorts, how many each can you buy? Thank you.      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 411054: I want to buy T-shirts and shorts. T-shirts cost $10 each and shorts cost $15 each. If I have $90 to buy a total of 8 T-shirts and shorts, how many each can you buy?
Thank you.
Answer by Tatiana_Stebko(1539) About Me  (Show Source):
You can put this solution on YOUR website!
Let buy x T-shirts, and y-shorts. If you have to buy a total of 8 T-shirts and shorts, then x%2By=8
T-shirts cost $10 each, so for x T-shirts you'll spend 10x$, shorts cost $15 each, so you'll pay 15y$ for y shorts/ Then you'll spend 10x%2B15y
System of equations
system%2810x%2B15y=90%2Cx%2By=8%29
system%2810x%2B15y=90%2Cy=8-x%29
system%2810x%2B15%288-x%29=90%2Cy=8-x%29
system%2810x%2B120-15x=90%2Cy=8-x%29
system%285x=30%2Cy=8-x%29
system%28x=6%2Cy=8-x%29
system%28x=6%2Cy=8-6%29
system%28x=6%2Cy=2%29
So, you have to buy 8 T-shirts, 2 shorts.