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.

Answer:There are 6,296 children at the carnivalStep-by-step explanation:The number of each group of people can be expressed as;Number of boys (b)+number of adults (a)=7,052b+a=7,052....equation 1Number of girls (g)=Number of adults (a)-756g=a-756....equation 2But 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=7,052a+a=7,052+7562 a=7,808a=7,808/2a=3,904Replace the value of a in equation 2 with 3,904g=3,904-756g=3,148But since g=bg=b=3,148b=3,148Total number of children=Total number of boys (b)+total number of girls (g)Total number of children=b+gwhere;b=3,148g=3,148replacing;Total number of children=(3,148+3,148)=6,296There are 6,296 children at the carnival