SOLUTION: 3/4 of Nancy’s money is equal to 2/5 of Irene’s money. The difference in their amount of
money is equal to 1/7 of Ellen’s money. Given that Ellen has $340 more than Irene,
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-> SOLUTION: 3/4 of Nancy’s money is equal to 2/5 of Irene’s money. The difference in their amount of
money is equal to 1/7 of Ellen’s money. Given that Ellen has $340 more than Irene,
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Question 1184114: 3/4 of Nancy’s money is equal to 2/5 of Irene’s money. The difference in their amount of
money is equal to 1/7 of Ellen’s money. Given that Ellen has $340 more than Irene, find the
total sum of money that the 3 girls have altogether. Answer by ikleyn(52818) (Show Source):
You can put this solution on YOUR website! .
3/4 of Nancy’s money is equal to 2/5 of Irene’s money. The difference in their amount of
money is equal to 1/7 of Ellen’s money. Given that Ellen has $340 more than Irene, find the
total sum of money that the 3 girls have altogether.
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Let x be the amount Nancy had, in dollars.
We are given that is equal to of Irene's money; hence, Irene had = dollars.
The difference of their money (Irene and Nancy) is - x = .
It is of the Ellen's money; hence, Ellen's money is = .
The last condition of the problems gives this equation
Ellen - Irene = 340 dollars, or - = 340.
To solve, multiply all the terms by 8
49x - 15x = 340*8
34x = 340*8
x = 10*8 = 80.
Thus Nancy had $80; Irene had = = $150; Ellen had = = $490.
ANSWER. The total is 80 + 150 + 490 = 720 dollars.
