# Solution: Sharing Cards - How Many are Shared Among 20+ Children?

• MHB
• Johnx1
In summary, 20 children initially shared an equal number of cards. However, when an additional child joined, each child received 2 fewer cards. To find the total number of cards, we can set up the equation 20x = 21(x - 2), where x represents the number of cards per child. Solving for x, we get x = 42. Thus, the total number of cards shared altogether is 20 * 42 = 840.
Johnx1
20 children share some cards equally. When another child joins them, they each get 2 fewer cards. How many cards are they sharing altogether?

children = ch
cards = cd

=> cd/ch

but when another child joins them, they get 2 fewer cards. So, ch = cds - 2.

then I did cd/20(cds - 2)

Then I got stuck there for a long time.

Last edited:
Let the number of cards per child be x. Since 20 children are sharing the same number of cards there are 20x cards available. When another child joins them there are x - 2 cards per child. So, 20x = 21(x - 2). Can you solve that for x and use your answer to find the solution to the problem?

greg1313 said:
Let the number of cards per child be x. Since 20 children are sharing the same number of cards there are 20x cards available. When another child joins them there are x - 2 cards per child. So, 20x = 21(x - 2). Can you solve that for x and use your answer to find the solution to the problem?

Answer is 840. Thank you.

## 1. How many cards are shared among 20+ children?

There are a total of 20 cards being shared among the children.

## 2. How many cards does each child receive?

Each child will receive one card.

## 3. What is the purpose of sharing cards among children?

The purpose of sharing cards is to promote social interaction and sharing among the children.

## 4. Are the cards randomly distributed among the children?

Yes, the cards are randomly distributed among the children to ensure fairness.

## 5. Is there a limit to the number of cards each child can receive?

No, each child will receive one card regardless of the number of children participating in the activity.

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