Question

Admission to an amusement park is $10 for children and $15 for adults.On saturday 1,300 people enter the park and $17,250 is collected.How many children and adults entered the park?

Answer 1

We have to make 2 equations
A = Adults     C= Children
So: A + C = 1300
     15A + 10C = 17250
We can solve for A and C in 2 ways, SUBSTITUTION or ELIMINATION
I'll do substitution
SUBSTITUTION: Subtract A from both sides
A + C = 1300
-A           -A
       C = 1300 - A
Plug C is to the 2nd equation
15A + 10(1300 - A) = 17,250
15A + 13,000 - 10A = 17,250
5A + 13,000 = 17,250
      - 13,000    -13,000
5A =                4250
----                 ---------
 5                       5
   A= 850
So, there are 850 adults, subtract 850 from 1,300 and there 450 children
Answer: 850 adults
              450 children