Question 254132
Cones cost $1.10 and sundaes cost $2.35. A total of 172 cones and sundaes cost $294.20. How many cones where purchased. Tell if mutliple answers, infinite answer or no solution. My daughter's class working on slopes.


Let s be the number of sundaes purchased. Then the number of cones purchased must be 172-s.

Then we have:

2.35*s + (172-s)*1.10 = 294.20

Muliplying both sides by 100 and simplifying we have: 

235*s + 172*110 - 110*s = 29420
125*s = 29420 - 18920 = 10500
s = 10500/125 = 84

The number of cones then is 172-84 = 88

There is one solution.