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)
43
• 55
O 62
O 16
Let x be the number of large cupcakes sold.
The total amount from selling large cupcakes is 1.25x.
The total amount from selling small cupcakes is 0.75(105 - x).
The total amount from selling all cupcakes is 1.25x + 0.75(105 - x), which is equal to $109.75.
Expanding the equation we get 1.25x + 78.75 - 0.75x = 109.75.
Combining like terms, we get 0.5x + 78.75 = 109.75.
Subtracting 78.75 from both sides, we get 0.5x = 31.
Dividing both sides by 0.5, we get x = 62.
Therefore, the yearbook club sold 62 large cupcakes. Answer: 62.