Question

Naomi has 50 red beads and white beads. The number of red beads is 1 more than 6 times the number of white beads. How many red beads does Noami have?

Answer 1

Let the number of red beads be r.
Let the number of white beads be w.

r + w = 50
r = 6w + 1

Substitute 6w + 1 in for r in the first equation.

6w + 1 + w = 50

7w + 1 = 50

7w = 49

w = 7

She has 7 white beads.

Now we use the first equation to find the number of red beads.

r + w = 50

r + 7 = 50

r = 43

She has 43 red beads.