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 Tree1Thanks
  • 1 Post By skeeter
Reply
 
LinkBack Thread Tools Display Modes
September 14th, 2018, 07:00 AM   #1
Member
 
Joined: Sep 2018
From: Japan

Posts: 35
Thanks: 2

Total money Ann had at first?

Raju and Ann had 450 dollars at first. Raju bought some books and had 3/5 of his money left. Ann bought some puzzles and was left with 2/5 of her money. Raju and Ann spent an equal amount of money. How much did Ann have at first?

My work:

Number of money Raju had = R
Number of money Ann had = A

We know that Raju and Ann had 450 dollars at first. So R + A = 450

But then I got confused.

I would expect... (3/5)R = (2/5)A would work, but I didn't get anywhere.
xoritos is offline  
 
September 14th, 2018, 07:33 AM   #2
Math Team
 
Joined: Jul 2011
From: Texas

Posts: 2,774
Thanks: 1428

Quote:
Raju and Ann had 450 dollars at first. Raju bought some books and had 3/5 of his money left. Ann bought some puzzles and was left with 2/5 of her money. Raju and Ann spent an equal amount of money. How much did Ann have at first?
let Ann's money = A

note that Ann spent 3/5 of her money

Raju's money = 450-A

note that Raju spent 2/5 of his money


$\displaystyle \frac{2}{5} \cdot (450-A) = \frac{3}{5} \cdot A$

solve for A
Thanks from xoritos
skeeter is offline  
September 14th, 2018, 02:51 PM   #3
Member
 
Joined: Sep 2018
From: Japan

Posts: 35
Thanks: 2

Quote:
Originally Posted by skeeter View Post

$\displaystyle \frac{2}{5} \cdot (450-A) = \frac{3}{5} \cdot A$
I see. So I'm guessing the reason why.......

3/5R = 2/5A. Then 3/5(450 - A) = 2/5A

doesn't work is because it say's "spent an equal amount of money"? So that why you did 2/5R = 3/5A.

Thank you.
xoritos is offline  
Reply

  My Math Forum > High School Math Forum > Elementary Math

Tags
ann, money, total



Thread Tools
Display Modes


Similar Threads
Thread Thread Starter Forum Replies Last Post
From where Bank get money EBTERTTBT Computer Science 18 September 4th, 2018 10:30 PM
Problem on money burgess Algebra 5 June 27th, 2014 12:24 AM
Money matters winner Elementary Math 0 January 14th, 2011 07:38 AM





Copyright © 2018 My Math Forum. All rights reserved.