SOLUTION: At a ice cream shop cones were $1.10 and sundaes were $2.35 in one day they sold a total of 172 cones and sundaes totaling $294.20 how many were cones? I have no idea how to so

Algebra ->  Expressions-with-variables -> SOLUTION: At a ice cream shop cones were $1.10 and sundaes were $2.35 in one day they sold a total of 172 cones and sundaes totaling $294.20 how many were cones? I have no idea how to so      Log On


   

Question 74308: At a ice cream shop cones were $1.10 and sundaes were $2.35 in one day they sold a total of 172 cones and sundaes totaling $294.20 how many were cones?
I have no idea how to solve this could you please help? Thank you
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Let c=# of cones, s=# of sundaes
1.1c%2B2.35s=294.2This is the equation of the 2 products sold which equals the total money made
c%2Bs=172 Here is the total number of products sold which equals 172
s=172-cSolve for s, plug this into 1.1c%2B2.35s=294
1.1c%2B2.35%28172-c%29=294.2
1.1c%2B404.2-2.35c=294.2
1.1c-2.35c=294.2-404.2
-1.25c=-110
c=88
So the number of cones sold was 88. Use this to find the number of sundaes sold
88%2Bs=172
s=172-88
s=84
So the number of sundaes sold was 84.




Here's another way to tackle the problem
Solved by pluggable solver: Linear System solver (using determinant)
Solve:


Any system of equations:


has solution

or



(c=88, s=84}

Which gives us the same answer, but it's just another way to solve the problem.