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?

2.35 + 1.10 = 3.45
2.35 / 3.45
1.10 / 3.45

294.20 / 3.45 x 1.10 = 93.80 to 4sf
294.20 / 3.45 x 2.35 = 200.40 to 4sf

93.80 + 200.40 = 294.20

93.80 / 1.10 = 85.2727272727
200.40 / 2.35 = 85.2765957447

85 + 85 = 170      need two more

84 x 1.10 = 92.40    84 x 2.35 = 197.4
88 x 2.35 = 206.8    88 x 1.10 = 96.8
                = 299.2                    = 294.20

 84 sundaes and 88 ice cream cones were sold.

I guess I spent too long and the working out was probably more long-winded than it should've been.