I am not sure about how to approach this word problem.

Question

A school sold 51 less children’s tickets than adult tickets for the school play. Adult tickets cost $1.25 and children’s tickets cost $0.75. A total of $129.75 was taken in. How many of each kind were sold?

Answer 1

1.25a +.75(a-51)= 129.75

2a = 129.75+38.25

a=168/2= 84 adults

c= 33 children

5/4)(84)+(3/4)(33)

=105+24.75

=129.75