SOLUTION: I have been given a word problem where all I know is that I have a total of 425 coins. there are 50 more nickles than pennies and there are 25 more dimes then nickles. I've been ro

Question 505713: I have been given a word problem where all I know is that I have a total of 425 coins. there are 50 more nickles than pennies and there are 25 more dimes then nickles. I've been rocking my head about this problem all day and I cannot solve it. If you could solve and explain, I would much appreciate that. Thank you.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
I have a total of 425 coins. there are 50 more nickles than pennies and there are 25 more dimes then nickles.
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Quantity Eq: p + n + d = 425 coins
Quantity Eq: n = p + 50
Quantity Eq: d = n + 25
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Substitute for "p" and for "d" and solve for "n":
(n-50) + n + (n+25) = 425
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3n -25 = 425
3n = 450
n = 150 (# of nickels)
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p = n-50 = 100 (# of pennies)
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d = n+25 = 175 (# of dimes)
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Cheers,
Stan H.
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