ice cream math question

Question

At a store, ice cream cones cost $0.90 and sundaes cost $1.65. One day a total of 193 cones and sundaes were sold and the receipts totalled $243.45. How many cones were sold?

Answer 1

Let x = the number of ice cream cones sold

Let y = the number of sundaes sold

x + y = 193     y = 193 - x

.90x + 1.65y = 243.45       Multiply both sides of this equation by 100 to remove the decimal points.

90x + 165y = 24,345

90x + 165(193 - x) = 24,345

90x + 31,845 - 165x = 24,345

-75x = -7500

x = 100 ice cream cones