Brian was holding a ballroom dance. He wanted to make sure girls would come, so he charged boys $5 to get in but girls only $3. The 45 people who came paid a total of $175. How many girls came to the dance?

25 girls came for the dance.

Step-by-step explanation:

Let x represent the number of girls that came for the ballroom dance.

Let y represent the number of boys that came for the ballroom dance.

The total number of boys and girls that came for the dance is 45. It means that

x + y = 45

He wanted to make sure girls would come, so he charged boys $5 to get in but girls only $3. The total amount paid by those who came was $175. It means that

3x + 5y = 175- - - - - - - - - - - - - -1

Substituting x = 45 - y into equation 1, it becomes

3(45 - y) + 5y = 175

135 - 3y + 5y = 175

- 3y + 5y = 175 - 135

2y = 40

y = 40/2

y = 20

x = 45 - y = 45 - 20

x = 25

answer;

the correct answer

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