Answer :
There were 110 adults who paid admission and 215 senior citizens who paid admission.
Let's denote the number of adults who paid admission as A and the number of senior citizens who paid admission as S.
We are given two pieces of information:
1. The total number of people who paid admission is 325:
[tex]\[ A + S = 325 \][/tex]
2. The total receipts from admission are $2495:
[tex]\[ 9A + 7S = 2495 \][/tex]
Now, we can solve these two equations simultaneously to find the values of A and S.
First, we can solve the first equation for one of the variables. Let's solve for A:
[tex]\[ A = 325 - S \][/tex]
Now, substitute this expression for A into the second equation:
[tex]\[ 9(325 - S) + 7S = 2495 \][/tex]
Expand and solve for S:
[tex]\[ 2925 - 9S + 7S = 2495 \]\[ -2S = 2495 - 2925 \]\[ -2S = -430 \]\[ S = \frac{-430}{-2} \]\[ S = 215 \][/tex]
Now that we know S=615, we can substitute this value back into the first equation to find A:
[tex]\[ A + 215 = 325 \]\[ A = 325 - 215 \]\[ A = 110 \][/tex]
