There are 7052 boys and adults at carnival.

There are 756 fewer girls than adults.

There is an equal number of girls and boys.

How many children are there at the carnival.

There are 6,296 children at the carnival

Step-by-step explanation:

The number of each group of people can be expressed as;

Number of boys (b) + number of adults (a) = 7,052

b+a=7,052 ... equation 1

Number of girls (g) = Number of adults (a) - 756

g=a-756 ... equation 2

But Number of girls (g) = number of boys (b)

Replacing the value of b in equation 1 with that of g in equation 2;

(a-756) + a=7,052

a+a=7,052+756

2 a=7,808

a=7,808/2

a=3,904

Replace the value of a in equation 2 with 3,904

g=3,904-756

g=3,148

But since g=b

g=b=3,148

b=3,148

Total number of children=Total number of boys (b) + total number of girls (g)

Total number of children=b+g

where;

b=3,148

g=3,148

replacing;

Total number of children = (3,148+3,148) = 6,296

There are 6,296 children at the carnival