the yearbook club is having a bake sale to raise money for the senior class. large cupcakes are sold for $1.25 each and small cupcakes are sold for $0.75 each. if 105 cupcakes were sold for a total amount of $109.75, how many large cupcakes did the year book club sell?

Answer 1

Let's represent the number of large cupcakes as "L" and the number of small cupcakes as "S".
From the problem, we can create two equations:
L + S = 105 (1)
1.25L + 0.75S = 109.75 (2)
To solve this system of equations, let's multiply equation (1) by -0.75:
-0.75L - 0.75S = -78.75 (3)
Adding equations (2) and (3) together, we have:
1.25L + 0.75S -0.75L -0.75S = 31
0.5L = 31
L = 31/0.5
L = <<62=62>>62 large cupcakes.
Thus, the yearbook club sold 62 large cupcakes. Answer: \boxed{62}.