My Math Forum  

Go Back   My Math Forum > High School Math Forum > Elementary Math

Elementary Math Fractions, Percentages, Word Problems, Equations, Inequations, Factorization, Expansion


Thanks Tree3Thanks
  • 2 Post By romsek
  • 1 Post By Denis
Reply
 
LinkBack Thread Tools Display Modes
October 21st, 2018, 06:00 PM   #1
Member
 
Joined: Sep 2018
From: Japan

Posts: 35
Thanks: 2

Pink and Green Ribbon

Ann had a pink ribbon and a green ribbon. The pink ribbon was twice as long as the green ribbon. After Ann use (1/3) of the pink ribbon and ( 3 and 1/4) m of the green ribbon, the length of the pink ribbon left was 4 times that of the green ribbon left. What was the length of the pink ribbon at first?

My work: (I'm couldn't get it correct, but this is how far I got)

Pink ribbon = p
Green ribbon = G

[1] The pink ribbon was twice as long as the green ribbon => p = 2g

[2] After Ann use (1/3) of the pink ribbon and ( 3 and 1/4) m of the green ribbon, the length of the pink ribbon left was 4 times that of the green ribbon left. => 4(p - 1/3) = g - (3 and 1/4)


I got stuck there. I'm not sure for what I did for [2] was correct.
xoritos is online now  
 
October 21st, 2018, 06:29 PM   #2
Senior Member
 
romsek's Avatar
 
Joined: Sep 2015
From: USA

Posts: 2,169
Thanks: 1141

$\dfrac{\frac {2p}{ 3}}{g-\frac {13}{4}} = 4$

$\dfrac{\frac{4g}{3}}{\frac{4g-13}{4}}=4$

$\dfrac{16g}{12g-39}=4$

$4g = 12g - 39$

$g = \dfrac{39}{8}m$

$p=2g = \dfrac{39}{4}m$
Thanks from greg1313 and xoritos
romsek is online now  
October 22nd, 2018, 09:34 AM   #3
Math Team
 
Joined: Oct 2011
From: Ottawa Ontario, Canada

Posts: 13,459
Thanks: 949

g = Green length

[G].........g.......... [P]................2g................

[G]....g-13/4... [P]............4g/3.........

4g / 3 = 4(g - 13/4)
Thanks from xoritos
Denis is offline  
Reply

  My Math Forum > High School Math Forum > Elementary Math

Tags
green, pink, ribbon



Thread Tools
Display Modes


Similar Threads
Thread Thread Starter Forum Replies Last Post
Pink is 50% white + 50% red in the RGB scheme. What is Hex? ozsoldier Physics 3 May 26th, 2017 08:47 PM
Green's Function desarkt Differential Equations 0 April 20th, 2014 01:53 PM
Green's theorem Robert Lownds Real Analysis 5 June 13th, 2013 11:24 AM
Green's Theorem nemsest Calculus 1 April 1st, 2013 02:49 AM





Copyright © 2018 My Math Forum. All rights reserved.