Let's use the information to set up a system of equations:
Let x be the number of small drinks sold and y be the number of large drinks sold.
From the given information, we have:
x + y = 55 (equation 1)
4.25x + 5.75y = 298.25 (equation 2)
Now, we can solve this system of equations.
From equation 1:
x = 55 - y
Substitute x = 55 - y into equation 2:
4.25(55 - y) + 5.75y = 298.25
233.75 - 4.25y + 5.75y = 298.25
1.5y = 64.5
y = 43
Now, substitute y = 43 back into x = 55 - y:
x = 55 - 43
x = 12
12 small drinks and 43 large drinks were sold.
