Carrie is making a colorful beaded necklace. She has 3 times as many green beads
as red beads, and twice as many blue beads beads. If she has 150 beads
all together, how many of the beads are green?

Respuesta :

Answer:

45 green beads

.

Step-by-step explanation:

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

I hope this helps

The question requires finding total green beads she has

There are 45 green beads

let

number of red beads = x

number of green beads = 3x

number of blue beads = 2(3x)

Total beads = 150

Total beads = red beads + green beads + blue beads

150 = x + 3x + 2(3x)

150 = 4x + 6x

150 = 10x

divide both sides by 10

x = 150/10

x = 15

Therefore,

number of red beads = x

= 15 beads

number of green beads = 3x

= 3 × 15

= 45 beads

number of blue beads = 2(3x)

= 2(3 × 15)

= 2(45)

= 90

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