The softball team stopped for ice cream after a big game. five 2-scoop cones cost the same as three sundaes. If they bought nine 2-scoop cones and six sundaes for $19.95, what was the cost of one sundae?

Let the cost of 2-scoop cones be x, and the cost of sundaes be y.

The first statement tells us that 5x = 3y

The second statement tells us that 9x + 6y = 19.95

Then we need to calculate the value of y (the cost of a sundae).

From our first equation, y = 5x/3. Substituting this into the second equation:

9x + 6 (5x/3) = 19.95

9x + 10x = 19.95

19x = 19.95

x = 1.05

Substituting back into the first equation: 5 (1.05) = 3y

5.25 = 3y

y = 1.75

Therefore the cost of a sundae is $1.75.