Answer:the ice cream shop sold 52 large cones.
Explanation:
Let x represent the number of small
ice cream cones that the shop sold.
Let y represent the number of large
ice cream cones that the shop sold.
The shop sold 70 ice cream cones. It means that
x + y = 70
Small cones cost 3.95 and large cones cost 5.75. The total sales made from the selling 70 ice creams is $370.10. It means that
3.95x + 5.75y = 370.1 - - - - - - - - - -1
Substituting x = 70 - y into equation 1, it becomes
3.95(70 - y) + 5.75y = 370.1
276.5 - 3.95y + 5.75y = 370.1
- 3.95y + 5.75y = 370.1 - 276.5
1.8y = 93.6
y = 93.6/1.8
y = 52
x = 70 - 52
x = 18