Question

"A local water park charges $18 per kid and $25 per adult for all-day admission. On its best day of the summer, the park sold 8 times as many kid tickets as adult tickets. The park brought in a staggering total of $58,056 in ticket sales that day."

A student used the following system of equations to model the situation given above. Which statement about the system of equations the student used is true?

8a - k = 0
20a + 16k = 58056

A.
The system of equations the student used is correct.
B.
The top equation in the system is incorrect.
C.
The bottom equation in the system is incorrect.
D.
Both equations in the system are incorrect.

Please select the best answer from the choices

Answer 1

the best way to solve this is to try to re-create the equations (by looking at the information presented in the paragraph, not the equations)

there are two equations. one represents the total # of tickets and the other represents the total revenue

# of tickets: they state that the number of kid tickets is 8 times the number of adult tickets. try re-writing this in terms of a and k

total revenue: for revenue, (price of adult tickets)(number of adult tickets) + (price of kid tickets)(number of kid tickets) = total revenue

try to write the equations, and see if they're equivalent to the ones already presented in the problem