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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?

asked
User AntonyG
by
8.3k points

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.

answered
User Oliver Adria
by
8.6k 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!

answered
User Cristiano Paris
by
7.9k points

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