SOLUTION: 73 ice cream cones were ordered. Some were soft serve at $2.25 each and the rest were hard serve at $1.25 each. The total amount spent was $125.25. How many of each kind were order

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: 73 ice cream cones were ordered. Some were soft serve at $2.25 each and the rest were hard serve at $1.25 each. The total amount spent was $125.25. How many of each kind were order      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 943589: 73 ice cream cones were ordered. Some were soft serve at $2.25 each and the rest were hard serve at $1.25 each. The total amount spent was $125.25. How many of each kind were ordered?
Thank you if you can solve this today.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Sugar cones?
Just kidding
---------------
Let +a+ = number of soft serve cones
Let +b+ = number of hard serve cones
----------------
(1) +a+%2B+b+=+73+
(2) +2.25a+%2B+1.25b+=+125.25+
------------------------------
(2) +225a+%2B+125b+=+12525+
(2) +9a+%2B+5b+=+501+
------------------------
Multiply both sides of (1) by +5+
and subtract (1) from (2)
(2) +9a+%2B+5b+=+501+
(1) +-5a+-+5b+=+-365+
-----------------------
+4a+=+136+
+a+=+34+
and
(1) +34+%2B+b+=+73+
(1) +b+=+39+
There were 34 soft serve cones
There were 39 hard serve cones
----------------
check:
(2) +2.25%2A34+%2B+1.25%2A39+=+125.25+
(2) +76.5+%2B+48.75+=+125.25+
(2) +125.25+=+125.25+
OK