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?
a) 43
b) 55
c) 62
d) 16

That would be
C) 62

62 x 1.25 = 77.50

109.75 - 77.50 = 32.25
32.25 / .75 = 43
So, 62 large at 1.25 ea.
and 43 small at .75 ea.

Represent the number of large and small cupcakes by x and y, respectively. The given conditions above can be expressed in the following equations,
                            x + y = 105
                          1.25x + 0.75y = 109.75
The values of x and y are x = 62 and y = 43.

The yearbook club therefore sold 62 large cupcakes. The answer is letter C.