Ivan has 6 times as many blue beads as red beads. He has 49 red and blue beads in all. How many blue beads does Ivan have

I'll get you started. What is the square root of 49?

To find the number of blue beads Ivan has, let's set up a system of equations.

Let's say the number of red beads Ivan has is "x".

According to the problem, Ivan has 6 times as many blue beads as red beads. Therefore, the number of blue beads Ivan has is 6 times "x", which is 6x.

The problem also states that Ivan has a total of 49 red and blue beads. So, the sum of the red and blue beads Ivan has is equal to 49.

That can be expressed as the equation: x + 6x = 49

Combining like terms, we get: 7x = 49

To isolate "x" on one side, we will divide both sides of the equation by 7: 7x/7 = 49/7

Simplifying, we find that: x = 7

Therefore, Ivan has 7 red beads.

To find the number of blue beads Ivan has, we can substitute the value of x back into the equation: 6x = 6 * 7

Simplifying, we find that: 6x = 42

Therefore, Ivan has 42 blue beads.