Respuesta :

Answer:

24

Step-by-step explanation:

35•4=140

6•4=24

140:24

Answer: 24 teachers

Step-by-step explanation:

The ratio of children to teacher is 35 : 6 or [tex]\frac{35}{6}[/tex]. To find how many teachers is needed for 140 children, you would need to use the following equation:

[tex]\frac{35}{6} = \frac{140}{x}[/tex].

To solve this, you would need to cross multiply.

[tex]\frac{35}{6} = \frac{140}{x}[/tex]

35 * x = (140) * (6)

35x = 840

[tex]\frac{35x}{35} =\frac{840}{35}[/tex]            Divide both sides by 35

x = 24

Another way to do it:

[tex]\frac{35}{6} = \frac{140}{x}[/tex]

[tex]\frac{35x}{6} = 140[/tex]           Multiply x to both sides

[tex]35x = 840[/tex]          

x = 24                Divide both sides by 35

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