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there are 357 seniors in harris high school. The ratio of boys to girls is 7:10. How many girls are in the senior class?

2 Answers

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Final answer:

There are 210 girls in the senior class at High School, based on the given ratio of boys to girls (7:10) and the total number of seniors (357).

Step-by-step explanation:

Given that there are 357 seniors in total and the ratio of boys to girls is 7 to 10. To solve this, we can set up a proportion where 7x is the number of boys and 10x is the number of girls, where x is the common multiplier for the ratio parts. The sum of boys and girls is equal to the total number of seniors:

7x + 10x = 357

Combining the like terms gives us:

17x = 357

To find the common multiplier x, divide both sides by 17:

x = 357 / 17

x = 21

Now we multiply the number of parts for girls in the ratio (which is 10) by the multiplier (x which is 21):

10 * 21 = 210

Therefore, there are 210 girls in the senior class at the School.

User Mikebabcock
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2 votes
x/357 = 3/10
You get x= 107.1
So there are 107 girls in the senior class
User Roger Layton
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