7lhchen7
contestada

s son,
4. There were 123 adults and twice as many children at a funfair. Halfway, an equal
number of adults and children left the funfair. In the end, the number of children
became four times the number of adults at the funfair. How many adults were there
at the funfair in the end?​

Respuesta :

Answer:

41 adults

Explanation:

The number of adults in the funfair is 123.

The number of children will be

[tex] 2 \times 123 = 246[/tex]

Let the number of adults and children who left the funfair be y.

This made the number of children

became four times the number of adults at the funfair.

[tex]4(123 - y) = 246 - y[/tex]

Expand the parenthesis to get:

[tex]492 - 4y = 246 - y[/tex]

[tex] - 4y + y = 246 - 492[/tex]

Simplify to get:

[tex] - 3y = - 246[/tex]

Divide both sides by -3

[tex]y = \frac{ - 246}{ - 3} = 82[/tex]

The number of adults in the end will be:

[tex]123 - 82[/tex]

[tex] = 41[/tex]

There are 41 adults left