+0  
 
0
158
1
avatar

In the FreeWheelin' Skate Shop, exactly 1/4 of the skateboards are red and exactly 2/3 of the scooters are red. If there are equal numbers of red skateboards and red scooters in the shop, what fraction of the total skateboards and scooters together are red? Express your answer as a simplified fraction.

Guest Oct 6, 2018
 #1
avatar+92890 
+1

Let  the total number of skateboards = X

Let the total number of scooters  = Y

 

And we know that

 

(1/4)X  = (2/3)Y       multiply both sides by 3/2

(3/8)X  =  Y

 

So fraction  of  red skateboards and scooters to the total  =

 

[ 1/4X + (2/3)Y ]  /  [  X + Y  ]  =

 

[ 1/4X  + 1/4X  ]  /  [ X + (3/8)X ] =

 

[ (1/2) X ]  / [ (8/8)X + (3/8)X ] =

 

[   (1/2)X ]  / [ (11/8) X ] =  (cancel the  X's )

 

(1/2)  / (11/8)  =  (invert the second fraction and multiply )

 

(1/2) * (8 /11)  =

 

8 / 22  =

 

4 /11

 

 

cool cool cool

CPhill  Oct 6, 2018

17 Online Users

avatar
avatar
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.