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?
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
