Question

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

Answer 1

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

Answer 2

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:

$\mathbf{G=3R}$

$\mathbf{B=2G}$

$\mathbf{B+G+R = 150}$

Substitute 2G for B in $\mathbf{B+G+R = 150}$

$\mathbf{2G+G+R = 150}$

$\mathbf{3G+R = 150}$

Multiply through by 3

$\mathbf{9G+3R = 450}$

Substitute G for 3R

$\mathbf{9G+G = 450}$

$\mathbf{10G = 450}$

Divide through by 10

$\mathbf{G = 45}$

Hence, she has 10 green beads

Read more about equivalent expressions at:

https://brainly.com/question/15715866