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Aunt May wanted to give some children red packet each for Chinese New Year. If she gives each child $5, she will have $24 left. If she gives each child $8, she will have $6 left. How many children were there?

Question

Aunt May wanted to give some children red packet each for Chinese New Year. If she gives each child 5,shewillhave5, she will have 24 left. If she gives each child 8,shewillhave8, she will have 6 left. How many children were there?

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Solution

To solve this problem, we can set up two equations based on the information given and then solve for the unknowns.

Let's denote:

  • the number of children as x
  • the total amount of money Aunt May has as y

From the problem, we can set up the following two equations:

  1. y - 5x = 24
  2. y - 8x = 6

We can solve this system of equations by substitution or elimination. Here, I'll use elimination.

First, subtract the second equation from the first:

(y - 5x) - (y - 8x) = 24 - 6 This simplifies to: 3x = 18

Then, solve for x by dividing both sides by 3: x = 18 / 3 x = 6

So, Aunt May is giving red packets to 6 children.

This problem has been solved

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