Mathematics: Which ratio is equal to 54 : 24? 27 : 12 18 : 6 8 : 3 24 : 54

Which ratio is equal to 54 : 24? 27 : 12 18 : 6 8

itzzarosario12

15.01.2022

The correct option is A.

Step-by-step explanation:

The given ratio is 54:24.

Write the simplified form of each ratio.

$54:24=\frac{54}{24}=\frac{6\times 9}{6\times 4}\Rightarrow \frac{9}{4}=9:4$

The simplified form of given ratio is 9:4.

In option A, the given ratio is 27:12.

$27:12=\frac{27}{12}=\frac{3\times 9}{3\times 4}\Rightarrow \frac{9}{4}=9:4$

The simplified form of 27:12 is 9:4, which is equivalent to the given ratio. Therefore correct option is A.

In option B, the given ratio is 18:6.

$18:6=\frac{18}{6}=\frac{3\times 6}{1\times 6}\Rightarrow \frac{3}{1}=3:1$

In option C, the given ratio is 8:3. it is already in simplified form.

In option D, the given ratio is 24:54.

$24:54=\frac{24}{54}=\Rightarrow \frac{4}{9}=4:9$

Therefore option B, C and D are incorrect.

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aliami0306oyaj0n

26.04.2020

ANSWER:

The 75% of 400 is 300.

SOLUTION:

Given, 75% of 400.

We have to Write and evaluate an expression to find the answer. Then we have explain how to use the model to justify the answer.

Now, let x and y be any two numbers such that, 0 ≤ y ≤ 100

$\text { Then, } y \% \text { of } x \text { will be equal to } \frac{y}{100} \times x$

Now, let us substitute the given values in above expression.

$x=400 \text { and } y=75 \rightarrow \frac{75}{100} \times 400=75 \times 4=300$

We have to do the same procedure for any given values.

Hence, the 75% of 400 is 300.

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