Carrie has 3 times as many green beads as red beads and 2 as many blue beads as green beads if she has 150 total how many green beads does she have

There are 45 green beads

Solution:

Let the number of red beads be "x"

Given that, Carrie has 3 times as many green beads as red beads

Number of green beads = 3 times number of red beads

Number of green beads = 3x

She 2 as many blue beads as green beads

Number of blue beads = 2 times the number of green beads

Number of blue beads = 2 (3x) = 6x

She has 150 total

Therefore,

Number of red beads + Number of green beads + Number of blue beads = 150

x + 3x + 6x = 150

10x = 150

x = 15

Thus, number of green beads = 3x = 3 (15) = 45

Thus there are 45 green beads