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

1 answer

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.