SOLUTION: you are in charge of buying softballs for three different leagues. The Pony league uses an 11 inch softball priced at $2.25. The Junior and Senior Leagues use a 12 inch softball pr

Algebra ->  Coordinate Systems and Linear Equations  -> Lessons  -> Linear Equations Lesson -> SOLUTION: you are in charge of buying softballs for three different leagues. The Pony league uses an 11 inch softball priced at $2.25. The Junior and Senior Leagues use a 12 inch softball pr      Log On


   

Question 76067This question is from textbook
: you are in charge of buying softballs for three different leagues. The Pony league uses an 11 inch softball priced at $2.25. The Junior and Senior Leagues use a 12 inch softball priced at $2.75. The invoicesmeared in the rain. You can still read the totals, 80 softballs for $210. How many of each size are there? This question is from textbook

Answer by ptaylor(2198) About Me  (Show Source):
You can put this solution on YOUR website!

Let x=number of of 11 in balls
Then 80-x=number of 12 in balls
Total cost of 11 in balls plus total cost of 12 in balls equals $210
So, our equation to solve is:
2.25x+2.75(80-x)=210 get rid of parens
2.25x+220-2.75x=210 subtract 220 from both sides
2.25x+220-220-2.75x=210-220 collect like terms
-0.50x=-10 divide both sides by -0.50
x=20---------------------------------------------number of 11 in balls
80-x=80-20=60---------------------------------------number of 12 in balls

CK
2.25(20)+2.75(60)=210
45+165=210
210=210

Hope this helps---ptaylor