SOLUTION: Hi! The problem is: An ice cream parlor makes $200. They sell cups of ice cream for $0.60 and cones for $2. How much cups of ice cream did they sell? How much cones of ice cream di

Question 1013100: Hi! The problem is: An ice cream parlor makes $200. They sell cups of ice cream for $0.60 and cones for $2. How much cups of ice cream did they sell? How much cones of ice cream did they sell?
Thanks so much for your help!
I've tried to divide $200 by 0.60 but what about the cones?
PLEASE EXPLAIN STEPS THANKS

Found 3 solutions by fractalier, macston, MathTherapy:
Answer by fractalier(6550)   (Show Source): You can put this solution on YOUR website!
You will need to know another fact about this problem to solve it. Usually they tell you how many items total, or that one was double the other, or something additional...otherwise there are many solutions to this problem...if this is all you were given, they they are asking you to graph the relationship and give any numbers that work...like 70 cones and 100 cups...
Answer by macston(5194)   (Show Source): You can put this solution on YOUR website!
N=number of cones; C=number of cups
.
.
Solve for N:
.
$2N+$0.60C=$200
.
$2N=$200-$0.60C
.
N=($200-$0.60C)/$2
.
N=($200/$2)-($0.60/$2)C
.
N=100-0.3C
.
.
Solve for C:
.
$2N+$0.60C=$200
.
$0.60C=$200-$2N
.
C=($200-$2N)/$0.60
.
C=($200/$0.60)-($2/$0.60)N
.
C=333.33-3.33N
.
C=3.33(100-N)
.
With the information given, this is as far as we can go.
If we knew total number of units sold, we could find a
numerical answer.
.

Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!

Hi! The problem is: An ice cream parlor makes $200. They sell cups of ice cream for $0.60 and cones for $2. How much cups of ice cream did they sell? How much cones of ice cream did they sell?
Thanks so much for your help!
I've tried to divide $200 by 0.60 but what about the cones?
PLEASE EXPLAIN STEPS THANKS

As the problem "sits," no less than 10 cups could've been sold
Knowing this, there are 33 different combinations, which are structured as follows:
Starting at 10 cups, 97 cones could've been sold, and for every 10 more cups thereafter, 3 less cones could've been sold.
Thus, the least number of cups, and the greatest number of cones that could've be sold would've been: 10, and 97, respectively
On the other hand, the greatest number of cups, and the least number of cones that could've be sold would've been: 330, and 1, respectively
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