SOLUTION: Erin has red, blue, and yellow barrettes. She has 5 times as many blue barrettes as red barrettes, and 2 times as many yellow barrettes as red barrettes. Altogether, she has 24 bar

Question 168822: Erin has red, blue, and yellow barrettes. She has 5 times as many blue barrettes as red barrettes, and 2 times as many yellow barrettes as red barrettes. Altogether, she has 24 barrettes. How many of each color does she have?
Answer by gonzo(654) (Show Source): You can put this solution on YOUR website!
let b = blue
let r = red
let y = yellow
-----
b + r + y = 24
b = 5r
y = 24
substitute 5r for b and 2r for yellow:
5r + r + 2r = 24
8r = 24
r = 3
b = 5r = 15
y = 2r = 6
b + r + y = 24
15 + 3 + 6 = 24
24 = 24 - true
answer is:
3 red
15 blue
6 yellow
-----

RELATED QUESTIONS
Erin has red blue and yellow barretts. She has 5 times as many blue barretts as red... (answered by solver91311,lynnlo)

An urn contains red, blue, and yellow balls. There are three times as many red balls as... (answered by jorel1380)

If there are three times as many red balls are there are yellow and half as many yellow... (answered by ewatrrr)

In Anthony's classroom there are red chairs, yellow chairs, and blue chairs. There are 7... (answered by josgarithmetic)

Constanza has 13 blue envelopes. She has 3 fewer yellow envelopes than blue envelopes.... (answered by Cromlix)

A bag contains blue,red and orange balls. There are 3 times as many blue balls as there... (answered by Boreal)

A box of 140 marbles contains only red, green, and blue marbles. There are three times as (answered by stanbon)

cara has 15 crayons, 5 red,5 blue,5 yellow.if she takes 2 crayons out, what is the... (answered by edjones)

Carol has 2 rose bushes; one with red flowers and one with yellow flowers. The red bush... (answered by rfer)