Question

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 totaled $6,687.50 How many children and how many adults were admitted

Answer 1

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