SOLUTION: At an ice cream parlor, ice cream cones cost $1.10 and sundaes cost $2.35. One day, the receipts for a total of 172 cones and sundaes were $294.20. How many cones were sold?

Question 250842: At an ice cream parlor, ice cream cones cost $1.10 and sundaes cost $2.35.
One day, the receipts for a total of 172 cones and sundaes were $294.20. How many cones were sold?
Answer by drk(1908) (Show Source): You can put this solution on YOUR website!
This question requires you to set up 2 equations and 2 unknowns.The first equation I call the "number" equation because it gives you the actual number of items. The second equation, I call the "value" equation because it gives you the total value of the items. Let C = cone and S = sundae.
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step 1 - write the equations:
(i)
(ii)
I generally don't use decimals and dollar signs on my value equation.
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step 2 - multiply the first equation by -110.
(iii)
(iv)
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step 3 - add down to eliminate C.
(v)
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step 4 - Solve for Sand then C. S = 84. C = 88.
88 cones were sold.

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