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 round beads are there in each color?
Answers
GPT-4o mini
Let's denote the number of round beads in each of the 5 different colors as \( x \). Since there are 5 colors, the total number of round beads can be represented as \( 5x \).
We know that the total number of beads in the Dazzle Jewelry Kit is 200, and there are 120 star-shaped beads. Therefore, the equation for the total number of beads can be set up as follows:
\[
5x + 120 = 200
\]
To solve for \( x \), we first subtract 120 from both sides:
\[
5x = 200 - 120
\]
\[
5x = 80
\]
Next, we divide both sides by 5 to find \( x \):
\[
x = \frac{80}{5}
\]
\[
x = 16
\]
Thus, the number of round beads in each color is \( 16 \).
To summarize, each of the 5 different colors has **16 round beads**.
We know that the total number of beads in the Dazzle Jewelry Kit is 200, and there are 120 star-shaped beads. Therefore, the equation for the total number of beads can be set up as follows:
\[
5x + 120 = 200
\]
To solve for \( x \), we first subtract 120 from both sides:
\[
5x = 200 - 120
\]
\[
5x = 80
\]
Next, we divide both sides by 5 to find \( x \):
\[
x = \frac{80}{5}
\]
\[
x = 16
\]
Thus, the number of round beads in each color is \( 16 \).
To summarize, each of the 5 different colors has **16 round beads**.