Admission to a local aquarium is $10 for adults and $7 for children. The aquarium
collected $6,549 from the sale of 783
tickets. Find the number of adult tickets and
children tickets that were sold.

First, let's define variables:

A = adults

C = children

Okay, now that's done, time to set up the two equations required to solve:

10a + 7c = 6549

a + c = 783

One way you can solve this is to set up the second equation to isolate a variable. For example,

a = -c + 783

Using this, we can plug it into the first equation and solve for c.

10(-c+783) + 7c = 6549

-3c = -1281

c = 427

Now, use the value of 427and plug it in either equation to solve for a.

a + 427 = 783

a = 356

356 adult tickets were sold, and 427 children tickets were sold.