My Math Forum Total money Ann had at first?

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

 September 14th, 2018, 06:00 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.
September 14th, 2018, 06:33 AM   #2
Math Team

Joined: Jul 2011
From: Texas

Posts: 2,949
Thanks: 1555

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

September 14th, 2018, 01:51 PM   #3
Member

Joined: Sep 2018
From: Japan

Posts: 35
Thanks: 2

Quote:
 Originally Posted by skeeter $\displaystyle \frac{2}{5} \cdot (450-A) = \frac{3}{5} \cdot A$
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.

 Tags ann, money, total

 Thread Tools Display Modes Linear Mode

 Similar Threads Thread Thread Starter Forum Replies Last Post EBTERTTBT Computer Science 18 September 4th, 2018 09:30 PM burgess Algebra 5 June 26th, 2014 11:24 PM winner Elementary Math 0 January 14th, 2011 06:38 AM

 Contact - Home - Forums - Cryptocurrency Forum - Top