The admission fee at a small fair is $3 for children and $4.00 for adults. On Sunday, 1000 people went to the fair and $4000 were raised. How many children and

Question

Systems Of Equations. 

Answer 1

Let C = number of children and A = number of adults

1) C + A = 1000

2) C * 3 + A * 4 = 4000

Multiplying the first equation by 3

3) c * 3 + A * 3 = 3000

Subtracting equation 3 from equation 2 gives

A = 1000 adults

Solving for C gives C = 0 children

Answer 2

Let's define our variables: c = children; a = adults.

Here's what we know:

c + a = 1000

3c + 4a = 4000.

 

............ Okay, just looking at it as is, it's looking like 1000 adults and 0 children:

4 * 1000 = 4000

If there were any children at all, the intake would have been less since children have cheaper tickets. Example:

3 * 1 + 999 * 4

3 + 3996

3999