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There is an unknown number of students at the beginning of lunch. Then...
• Each student has 2 friends come sit with them, tripling the amount.
• When the bell rings, most of the students leave the lunchroom of the students stay to finish their lunches.
• 10 students join the students who are still in the lunchroom.
• The total number of people in the lunchroom now is 22.

Create an equation that correctly represents the story above and can be used to find the number of students in the lunchroom at the beginning of lunch. Then find the number of students who were in the lunchroom at the beginning of the story.​

Respuesta :

dsdrajlin

There were 20 students at the beginning of lunch. We could find this out using the following equation:

1/5 (3 x) + 10 = 22

What is an equation?

An equation is a statement of equality between two expressions consisting of variables and/or numbers.

  • Let "x" be the number of students at the beginning of lunch.

  • Each student has 2 friends come sit with them, tripling the amount. The number of students can be represented by:

3x

  • When the bell rings, most of the students leave the lunchroom. 1/5 of the students stay to finish their lunches. The number of students can be represented by:

1/5 (3 x)

  • 10 students join the students who are still in the lunchroom. The number of students can be represented by:

1/5 (3 x) + 10

  • The total number of people in the lunchroom now is 22. The number of students can be represented by:

1/5 (3 x) + 10 = 22

We can solve this equation to find the number of students at the beginning of lunch.

1/5 (3 x) + 10 = 22

1/5 (3 x) = 12

3x = 60

x = 20

There were 20 students at the beginning of lunch. We could find this out using the following equation:

1/5 (3 x) + 10 = 22

Learn more about equations here: https://brainly.com/question/2972832

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