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The ratio of the number of boys to the number of girls is 5:4 there are 250 boys, how many are girls ?​

Sagot :

There are 200 girls.

Step-by-step explanation:

Ratio and Proportion Word Problem

The problem above is asking for the number of girls. To find the answer, you have to identify the known and unknown in the problem and express them in ratios.

The problem stated that the ratio pertains to the number of boys to the number of girls. Let "n" be the number of girls.

5 : 4 = 250 : n

Now, the ratios show a proportion. A statement of equality between two ratios is called a proportion. In simple terms, it is two ratios that are equal. To find the number of girls or the missing term in a proportion, you have to multiply the extremes and the means. The outer terms are the extremes which are 5 and n. The inner terms are the means which are 4 and 250.

Solution:

5 : 4 = 250 : n

5 n = 4 (250)

5n = 1000

5n/5 = 1000/5

n = 200

Final Answer:

There are 200 girls.

5 : 4 = 250 : 200

Checking:

Let us check if they are proportional. The product of the extremes should be equal to the product of the means.

5 : 4 = 250 : 200

5 (200) = 4 (250)

1000 = 1000 ✔

To learn more word problems involving ratio and proportion, visit the links:

brainly.ph/question/281830

brainly.ph/question/867439

brainly.ph/question/2435621

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