Question

Carnival A charges an entrance fee of 6.00 and 0.75 per ticket for the rides. Carnival B charges an entrance fee of 12.00 and 0.50 per ticket for the rides. How many tickets must be purchased in order for the total cost at Carnival A and Carnival B to be the same .

A.20
B.14
C.18
D.24

Answer 1

Option D

Step-by-step explanation:

A) Carnival A; 0.75 x 20 = 15, 15 + 6 = 21

Carnival B; 0.5 x 20 = 10, 10 + 12 = 22, Since the amount of money you spend at carnival A and B is different, A is not the answer

B) Carnival A; 0.75 x 14 = 10.5, 10.5 + 6 = 16.5

Carnival B; 0.5 x 14 = 7, 7 + 12 = 19, Since the amount of money you spend at carnival A and B is different, B is not the answer

C) Carnival A; 0.75 x 18 = 13.5, 13.5 + 6 = 19.5

Carnival B; 0.5 x 18 = 9, 9 + 12 = 21, Since the amount of money you spend at carnival A and B is different, C is not the answer

D) Carnival A; 0.75 x 24 = 18, 18 + 6 = 24

Carnival B; 0.5 x 24 = 12, 12 + 12 = 24, Since the amount of money you spend at carnival A and B is the same, D is the answer

P.S Sorry for such a long post