
Elementary Math Fractions, Percentages, Word Problems, Equations, Inequations, Factorization, Expansion 
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September 17th, 2018, 10:39 PM  #1 
Member Joined: Sep 2018 From: Japan Posts: 35 Thanks: 2  Sam and Nora, how much did they have altogether
Sam and Nora had an equal amount of money. After Sam spent 5/7 of his money and Nora spent 7/8 of her money, Sam had \$13.50 more than Nora left. How much did they have altogether at first? My work Amount for Nora = N Amount for Sam = S [1] We know that Sam and Nora had the same amount: N = S [2] We know Sam spent 5/7 of his money and Nora spent 7/8 of her money, and after, Sam had \$13.50 more than Nora: 5/7S + 13.50 = 7/8N Since we know N = S, I replaced N from the [2] with S. So, 13.50 = 7/8S  5/7S S = 84, N = 84 Answer 168 Is my work mathematically correct? Last edited by skipjack; September 18th, 2018 at 12:38 AM. 
September 18th, 2018, 12:27 AM  #2 
Senior Member Joined: Apr 2014 From: UK Posts: 965 Thanks: 342 
Looks good to me 
September 18th, 2018, 12:42 AM  #3 
Global Moderator Joined: Dec 2006 Posts: 20,978 Thanks: 2229 
What did Sam and Nora spend their money on?

September 18th, 2018, 05:32 AM  #4 
Math Team Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 14,597 Thanks: 1038  