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The ratio of qualified teachers to unqualified teachers is 1;2. Use the given ratio and determine how many qualified teachers there are if there are 540 unqualified teachers. show your calculations​

Answer :

sparkle4286

Answer:

270

Step-by-step explanation:

by using the proportion rule:

let X be the number of qualified teachers then

1:2=X=540 i.e.

1/2 =  X/540

by cross multiplication,

540x1=2xX

540=2X i.e.

X=540/2

X=270

akposevictor

There are 270 qualified teachers.

To solve this, we would apply the knowledge of proportion.

It is simply a way of stating that two ratios are of equal measure.

For example, [tex]a:b = x:y[/tex] or [tex]\frac{a}{b} = \frac{x}{y}[/tex]

Applying the following proportion rule given that:

Ratio of qualified teachers to unqualified teachers is 1:2.

Number of unqualified teachers = 540

Let number of qualified teachers be represented by x.

Therefore:

[tex]\frac{1}{2} = \frac{x}{540}[/tex]

Cross multiply

[tex]2x = 540(1)[/tex]

Divide both sides by 2

[tex]\frac{2x}{2} = \frac{540}{2} \\x = 270[/tex]

Therefore, the number of qualified teachers is 270.

Learn more about ratio here:

https://brainly.com/question/21768124

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