# Datan asks you "Hey Yosief, I have a question for you, if I gives 4 chocolate bars to each child at my party, I will have 38 left. If I give 7 chocolate bars each, I will have 2 chocolate bars left. How many children were there at my birthday party?"

There were

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Let's denote the number of children at the party as (x).

According to the given information, when you give 4 chocolate bars to each child, you will have 38 chocolate bars left. This can be represented as the equation (4x + 38).

Similarly, when you give 7 chocolate bars to each child, you will have 2 chocolate bars left. This can be represented as the equation (7x + 2).

We can set up a system of equations using these conditions:

- (4x + 38 = \text{total number of chocolate bars})
- (7x + 2 = \text{total number of chocolate bars})

We can set these two expressions equal to each other since they represent the same total number of chocolate bars:

[ 4x + 38 = 7x + 2 ]

Now, we solve for (x):

[ 38 - 2 = 7x - 4x ] [ 36 = 3x ] [ x = \frac{36}{3} ] [ x = 12 ]

So, there were 12 children at the birthday party.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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