Question
The dazzle jewelry kit contains round beads in 5 different colors plus 120 star shaped beads. There are 200 beads in all. How many rounds beads are there in each color?
Answers
GPT-4o mini
Let's denote the number of round beads in each color as \( x \). Since there are 5 different colors of round beads, the total number of round beads can be expressed as \( 5x \).
According to the problem, the total number of beads is 200, which consists of the round beads and the star-shaped beads. Since there are 120 star-shaped beads, we can set up the following equation:
\[
5x + 120 = 200
\]
Now, we can solve for \( x \):
1. Subtract 120 from both sides:
\[
5x = 200 - 120
\]
\[
5x = 80
\]
2. Divide both sides by 5:
\[
x = \frac{80}{5}
\]
\[
x = 16
\]
So, there are 16 round beads in each color.
According to the problem, the total number of beads is 200, which consists of the round beads and the star-shaped beads. Since there are 120 star-shaped beads, we can set up the following equation:
\[
5x + 120 = 200
\]
Now, we can solve for \( x \):
1. Subtract 120 from both sides:
\[
5x = 200 - 120
\]
\[
5x = 80
\]
2. Divide both sides by 5:
\[
x = \frac{80}{5}
\]
\[
x = 16
\]
So, there are 16 round beads in each color.