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 yearbook club sell? (1 point) Responses 43 43 55 55 62 62 16
Let's assume the number of large cupcakes sold is L and the number of small cupcakes sold is S.
We know that L + S = 105 (1) and 1.25L + 0.75S = 109.75 (2).
To solve this system of equations, we can multiply equation (1) by -0.75, and then add it to equation (2):
-0.75L - 0.75S = -78.75
1.25L + 0.75S = 109.75
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0.5L = 31
Dividing both sides of the equation by 0.5, we find that L = 62.
Therefore, the yearbook club sold 62 large cupcakes.