Answer:
Children = 137
Adults = 215
Step-by-step explanation:
The admission fee at a water park is $12.50 for children
and $25.00 for adults.
On a certain day, 352 people entered the park and the admission fees collected totalled $6,687.50
Let the number of children admitted be x ,
and the number of adults admitted be y.
This forms a simultaneous equation:
x + y = 352 ... (i)
$12.50x + $25.00y = $6,687.50 ... (ii)
Multiplyng (i) by 12.50 and (ii) by 1 we get;
12.5x + 12.5y = 4400 ... (i)
12.5x + 25y = 6,687.5 ... (ii)
Subtracting (ii) - (i) we get;
12.5y = 2687.5
y = 215
So the number of adults admitted = 215
And the number of children admitted = 352 - 215 = 137