Question
Ivan has six times as many bluebirds at red beets. He has 49 red and blue beads in or how many blue bee does Ivan have blue beads Bean
Answers
GPT-4o mini
Let's denote the number of red beads Ivan has as \( r \) and the number of blue beads as \( b \).
According to the problem, there are two key pieces of information:
1. The total number of red and blue beads is 49:
\[
r + b = 49
\]
2. Ivan has six times as many blue beads as red beads:
\[
b = 6r
\]
Now we can substitute the second equation into the first equation:
\[
r + 6r = 49
\]
This simplifies to:
\[
7r = 49
\]
Now, solve for \( r \):
\[
r = \frac{49}{7} = 7
\]
Now that we have the number of red beads, we can find the number of blue beads by substituting \( r \) back into the equation for \( b \):
\[
b = 6r = 6 \times 7 = 42
\]
Thus, Ivan has:
- **7 red beads**
- **42 blue beads**
So, Ivan has \( \boxed{42} \) blue beads.
According to the problem, there are two key pieces of information:
1. The total number of red and blue beads is 49:
\[
r + b = 49
\]
2. Ivan has six times as many blue beads as red beads:
\[
b = 6r
\]
Now we can substitute the second equation into the first equation:
\[
r + 6r = 49
\]
This simplifies to:
\[
7r = 49
\]
Now, solve for \( r \):
\[
r = \frac{49}{7} = 7
\]
Now that we have the number of red beads, we can find the number of blue beads by substituting \( r \) back into the equation for \( b \):
\[
b = 6r = 6 \times 7 = 42
\]
Thus, Ivan has:
- **7 red beads**
- **42 blue beads**
So, Ivan has \( \boxed{42} \) blue beads.