Question

Q4) The admission fee at a small fair is $2 for children and $4.00 for adults.

On a certain day, 350 people enter the fair and $1100 is collected.
How many children and how many adults attended?
Hint: Build up a system of two equations. Then solve it algebraically.
Consider that y is the number of kids and x is the number of adults.

Answer 1

9514 1404 393

Answer:

• 150 children
• 200 adults

Explanation:

The equations can be written as ...

y = 350 -x . . . . . . . . total number of people

4x +2y = 1100 . . . . . admission fees collected

Substituting for y, we have ...

4x +2(350 -x) = 1100

2x = 400 . . . . . . . . . . . . subtract 700, collect terms

x = 200

y = 350 -200 = 150

150 children and 200 adults attended the fair.