SOLUTION: Ice cream cones cost $1.10 and sundaes cost $2.35. I bought 172 cones and sundaes were $294.20. how many cones and sundaes were sold?

Question 764630: Ice cream cones cost $1.10 and sundaes cost $2.35. I bought 172 cones and sundaes were $294.20. how many cones and sundaes were sold?
Answer by DrBeeee(684) (Show Source): You can put this solution on YOUR website!
Let c = number of cones
Let s = number of sundaes
You set up two equations, one for total cost and one for the number of items purchased.
(1) 1.10*c + 2.35*s = 294.20
(2) c + s = 172
Solve (2) for c and substitute it into (1) and get
(3) 1.10*(172-s) + 2.35*s = 294.2 or
(4) 189.2 - 1.10s + 2.35s = 294.2 or
(5) 1.25s = 294.2 - 189.2 or
(6) 1.25s = 105 or
(7) s = 105/1.25 or
(8) s = 84
Then from (2) we have
(9) c = 172 - 84 or
(10) c = 88
Let's check this with (1).
Is (1.1*88 + 2.35*84 = 294.2)?
Is (96.8 + 197.4 = 294.2)?
Is (294.2 = 294.2)? Yes
Answer: You bought 88 ice cream cones and 84 sundaes.

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