Let x represent the number of children that attended
Let y represent the number of adults that attended
From the information given,
If on a certain day, 2900 people entered the zoo, it means that
x + y = 2900
The admission fee at a local zoo is $1.50 for children and $7.00for adults. This means that the admission fee for x children is 1.5 * x = 1.5x and the admission fee for y adults is 7 * y = 7y
If the total amount received from 2900 people is $14250, it means that
1.5x + 7y = 14250
From the first equation, x = 2900 - y
By substituting x = 2900 - y into the second equation, we have
1.5(2900 - y) + 7y = 14250
4350 - 1.5y + 7y = 14250
- 1.5y + 7y = 14250 - 4350
5.5y = 9900
y = 990/5.5
y = 1800
x = 2900 - y = 2900 - 1800
x = 1100
Thus, 1100 children and 1800 adults attended