SOLUTION: An ice cream parlor made $200. They sold cups for $0.60 and cones for $0.75. They sold 164 cups and cones in total. How much cups did they sell? How many cones did they sell?

Algebra ->  Coordinate Systems and Linear Equations  -> Lessons -> SOLUTION: An ice cream parlor made $200. They sold cups for $0.60 and cones for $0.75. They sold 164 cups and cones in total. How much cups did they sell? How many cones did they sell?       Log On


   

Question 1013124: An ice cream parlor made $200. They sold cups for $0.60 and cones for $0.75. They sold 164 cups and cones in total. How much cups did they sell? How many cones did they sell?

Found 4 solutions by josgarithmetic, macston, stanbon, fractalier:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Slightly different example than posted earlier but at least it is complete enough to solve.

x, cups
y, cones

system%28x%2By=164%2C0.6x%2B0.75y=200%29


First simplify the money equation.
12x%2B15y=4000

System can be system%28x%2By=164%2C12x%2B15y=4000%29, and Elimination Method may be best method to choose...

system%2812x%2B12y=1968%2C12x%2B15y=4000%29

E2-E1 -------- 3y=2032
But this does not work too well because highlight_green%28y=677%261%2F3%29.

Maybe a reason for that, or maybe not. (Include one third of a cone? Possibly if a cone gets more than one scoop of ice-cream.)


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Elimination Method really is a form of Substitution, often being more efficient.

If you multiply left and right members of 0.6x+0.75y=200 by 20, you will get the equivalent equation, 12x+15y=4000.

Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
.
There is no answer to this as given. If they sold 164 of
the most expensive (cones), they would make less than $200.
They either made less than $200, or sold more than 164 units.

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
An ice cream parlor made $200. They sold cups for $0.60 and cones for $0.75. They sold 164 cups and cones in total. How much cups did they sell? How many cones did they sell?
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Comment:: If they sold 164 cones at 0.75
they would not earn $200. They certainly
won't make $200 if they include some cups
at 0.60..
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Please check your post.
Cheers,
Stan H.
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Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
Still need to fix this one for a solution that makes sense.