+0  
 
+1
288
1
avatar+591 

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?

ant101  Dec 29, 2017
 #1
avatar+91027 
+1

R + Y  + O  + W   =  35

R/2  =  Y - 2   ⇒  Y  = R/2 + 2    (1)

R/2 =  O/3  ⇒  O  =  (3/2)R   (2)

R/2  =  (W + 3) / 3  ⇒  (3/2)R  = W + 3  ⇒  (3/2)R - 3  = W    (3)

 

Sub (1), (2), (3)  into  the first equation

R  + R/2 + 2  + (3/2)R  + (3/2)R - 3  = 35

4R + R/2   =  36

8R + R  =  72

9R  = 72

R  = 8  = red marbles

 

And

Y = 8/2 + 2  =  6

O  = (3/2)8   = 12

W  = (3/2)(8) - 3  =  9

 

 

cool cool cool

CPhill  Dec 29, 2017

36 Online Users

avatar
avatar

New Privacy Policy

We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive information about your use of our website.
For more information: our cookie policy and privacy policy.