Question

At an icecream 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 and sundaes were sold?

Answer 1

so we have an interesting problem
represent number of icecream cones as x
represent sundays as y
1.1 times x=cost of icecreams
2.35 times y=cost of sundaes so total cost is
1.1x+2.35x=294.20

total cones=x+y=172
x+y=172
1.1x+2.35y=294.2
multiply second equation by 10
11x+23.5=2942

multipily first equation by -11
-11x-11y=-1892
add to firest equation
11x+23.5y=2942
-11x-11y=-1892 +
0x+12.5y=1050
12.5y=1050
divide both sides by 12.5
y=84
subsitute 84 for y
x+84=172
subtract 84 from btoh sides
x=88


88 cones were sold
84 sundaes were sold