Question

Adults' tickets for the art museum cost $1.50 more than children's tickets. One day 200 adults' tickets and 160 children's tickets were sold at the museum. The income from the adults' tickets was $30 less than twice the income from the children's tickets. How much does each type of ticket cost??
Thanks for the help! :D

Answer 1

A = C + 1.50
A = 2C - 30

2C - 30 = C + 1.50
2C - C = 1.50 + 30
C = 31.50

A = 2(31.50) - 30
A = 63 - 30
A = 33

Now lets check...
A = 2C - 30
33 = 2(31.50) - 30
33 = 63 - 30
33 = 33 (correct)

Adult tickets (A) cost $ 33
Child tickets (C) cost $31.50