144 coins are divided equally among some
children. If there were 3 fewer children,
each child would have 16 coins. How many
children are there?​

Respuesta :

Answer:

12

Step-by-step explanation:

Consider the number of children to be '[tex]x[/tex]'

So, 144 coins were divided among '[tex]x[/tex]' children

For [tex]x-3[/tex] children, each child would have 16 coins

So now, solve the equation [tex](x-3)*16=144[/tex]

Solving for [tex]x[/tex]:

[tex](x-3)*16=144[/tex]

[tex]x-3=\frac{144}{16}[/tex]

[tex]x-3=9[/tex]

[tex]x=9+3[/tex]

[tex]x=12[/tex]

Therefore, there are 12 children.