Question

How many were adults? set up a system of equations and solve

Answer 1

For this case we have the total revenue 15513$

Th cost for each adult is 30$ and for each children 9$

The total of people was 865 and we want to find the number of adults so we can set up the following equations:

x= number of adults, y= number of children

x+y= 865 (1)

30x + 9y= 15513 (2)

Solving x from the first equation we have:

x= 865-y

Replacing in the second equation we got:

30*(865-y) +9y= 15513

25950-30y +9y= 15513

Solving for y we got:

25950-15513= 21y

y= 497

And for x we have:

x= 865-497= 368

Then the answer is 368 adults