Question
Javier bought 3 equal sized bags of balloons for a party he used 8 balloons from each bag. determine how many balloons were originally in each bag if there were 21 balloons left over.
Answers
GPT-4o mini
Let \( x \) be the number of balloons in each bag. Since Javier bought 3 bags, the total number of balloons he originally had is \( 3x \).
He used 8 balloons from each bag, so the total number of balloons used is:
\[
3 \times 8 = 24
\]
According to the problem, after using the balloons, there were 21 balloons left. Therefore, we can set up the following equation:
\[
3x - 24 = 21
\]
Now, let's solve for \( x \):
1. Add 24 to both sides:
\[
3x = 21 + 24
\]
\[
3x = 45
\]
2. Divide both sides by 3:
\[
x = \frac{45}{3}
\]
\[
x = 15
\]
So, there were originally **15 balloons** in each bag.
He used 8 balloons from each bag, so the total number of balloons used is:
\[
3 \times 8 = 24
\]
According to the problem, after using the balloons, there were 21 balloons left. Therefore, we can set up the following equation:
\[
3x - 24 = 21
\]
Now, let's solve for \( x \):
1. Add 24 to both sides:
\[
3x = 21 + 24
\]
\[
3x = 45
\]
2. Divide both sides by 3:
\[
x = \frac{45}{3}
\]
\[
x = 15
\]
So, there were originally **15 balloons** in each bag.