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

The number of beads is an illustration of equivalent expressions

Carrie has 10 green beads

Represent each bead with the first letter.

So, we have:

Substitute 2G for B in

Multiply through by 3

Substitute G for 3R

Divide through by 10

Hence, she has 10 green beads

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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