Edmund, adeline and james are good friends from the origami club. edmund has folded 252 paper masks. adeline has 12 more paper masks than james. edmund 's paper masks is 6 times as many as the sum of james and adeline 's paper masks. how many paper masks has adeline folded?

In that day 1300 children and 700 adults were admitted.

Step-by-step explanation:

Since the people who enter the park are either adults or children, the sum of these two types of people must be equal to the total amount that entered the park. So we have:

children + adults = 2000

The total amount collected must be the sum of the people that entered the park multiplied by the ticket fee for each type. We have:

1.5*children + 4*adults = 4750

We now have two equations and two variables so we can solve the system.

children + adults = 2000                                             equation 1

1.5*children + 4*adults = 4750                                     equation 2

We can multiply the equation 1 by -1.5 and sum it with the equation 2 to solve for adults, we have:

-1.5*children - 1.5*adults = -3500

1.5*children + 4*adults = 4750

2.5*adults = 1750

adults = 1750/2.5 = 700

To solve for children we apply the found value for adults on the equation 1.

children + 700 = 2000

children = 2000 - 700 = 1300

In that day 1300 children and 700 adults were admitted.