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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?
88 cones
represent
Let's say ##x =## cones
and
##y =## sundaes
Our first equation would be ##x + y = 172##
And the second equation would be ##1.10x + 2.35y = 294.20##
Solve by substitution using the first equation. First Isolate the ##x## variable
##x + y = 172##
##x = 172 - y##
Then we substitute the value of ##x## to the second equation:
##1.10(172-y) + 2.35y = 294.20##
##189.2 - 1.10y + 2.35y = 294.20##
##1.25y = 294.20 - 189.20##
##1.25y = 105##
##y = 84## ( sundaes )
Then, to find the number of cones, we use ##x = 172 - y##
##x = 172 - 84##
##x = 88##
Hence 88 cones were sold.