One afternoon the water park sold 525 tickets for a total of $13,545 . Child tickets cost $19 each, and adult tickets cost $40 e

Question

makvit [3.9K]

2 years ago

11

One afternoon the water park sold 525 tickets for a total of $13,545 . Child tickets cost $19 each, and adult tickets cost $40 e

ach. How many of each kind of ticket were sold?

Mathematics

2 answers:

Marina86 [1] · Answer 1 · 2023-11-09T20:52:34+03:00

You need to set up 2 problems for this. Let’s start with the # of tickets sold & variables.

c = # of child tickets sold
a = # of adult tickets sold

c + a = 525

Now we need to set up the equation for the money.

c = # of child tickets sold
a = # of adult tickets sold

19c + 40a = 13,545

Now put the two equations by each other.

c + a = 525
19c + 40a = 13,545

Now I will solve for one of the variables.

c + a = 525
-a -a

c = 525 - a

Now I plug it into the other equation.

19(525) + 40a = 13,545
Solve.
9,975 + 40a = 13,545
-9,975
40a = 3,570 / 40
a = 89.25
89 rounded?

then plug in a on the second equation

c + 89 = 525
-89 -89
c = 436

so the answer is:
Sold 89 adult tickets.
Sold 436 kids tickets.