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A geometry class has a total of 27 students. The number of females is 13 less than the number of males. How many males and how many females are in the class?

User AntonyG
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2 Answers

0 votes

Answer:

20 males and 7 females

Explanation:

I know this because 27= 20+7

and 20-7=13

and the question says there are 13 less then the number of males and 20-7=13 females.

I hope this helps, sorry it took me so long to answer.

User Oliver Adria
by
5.4k points
2 votes

Answer:

20 males and 7 females

Explanation:

Let's say the number of females is x and the number of males is y.

We know that the total number of students is 27, which can also be written as x + y. So, these two expressions are equal: x + y = 27.

There are 13 fewer females than males, so: x = y - 13.

Now, we can use substitution to solve this system of linear equations.

Since x = y - 13, we can plug in y - 13 for x in x + y = 27:

x + y = 27 ⇒ (y - 13) + y = 27 ⇒ 2y - 13 = 27 ⇒ 2y = 40 ⇒ y = 20

Then, we use this value of y to solve for x:

x = y - 13 = 20 - 13 = 7

Thus, there are 20 males and 7 females.

Hope this helps!

User Cristiano Paris
by
5.1k points
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