## There are thirty-five red, yellow, orange, and white marbles in a bag. If half the number of red marbles equals two less than the number of

Question

There are thirty-five red, yellow, orange, and white marbles in a bag. If half the number of red marbles equals two less than the number of yellow marbles, equals a third the number of orange marbles, and equals a third of three more than the number of white marbles, how many red marbles are there?

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2 weeks 2021-09-08T18:03:11+00:00 2 Answers 0

8 red

Step-by-step explanation:

r/2 = y – 2 = ⅓ × o = (w+3)/3

r + y + o + w = 35

r = 8, y = 6, o = 12, w = 9

There are 8 red marbles

Step-by-step explanation:

Let the number of red be R , number of yellow be Y , number of orange be O and number of white be W. Then

………………… *

Half the number of red implies :

Two less than the number of yellow implies :

A third the number of orange implies :

A third of three more than the number of white marbles implies :

combining everything together , we have

implies : ……………. equation 1

implies :

therefore: …………………. equation 2

implies :

Therefore: ……………………. equation 3

Substituting equation 1 ,2 and 3 into equation * , we have

substitute the values of Y , to get R , O and W

Therefore:

number of red = 8

number of yellow = 6

number of orange = 12

number of white = 9