Question 765678: 1) Ethan has quarter and nickels. If Ethan had six more quarters than and two times the number of nickels he would have $3.75 more. How many of each coin does he have?
4) James has a total of $21.52. He has three times more pennies than nickels, thirteen more quarters than nickels, and fifty eight fewer nickels than dimes. How many of each coin does he have?
5) Lauren has a total of 270 pennies, nickels, and quarters. She has a total of $17.10. She has two times as many nickels as quarters and one-third as many quarters as pennies. How many each coin does she have?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! 1) Ethan has quarter and nickels. If Ethan had six more quarters than and two times the number of nickels he would have $3.75 more. How many of each coin does he have?
Note: Information is missing in your post.
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4) James has a total of $21.52. He has three times more pennies than nickels, thirteen more quarters than nickels, and fifty eight fewer nickels than dimes. How many of each coin does he have?
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Value Equation::: 25q + 10d + 5n + p = 2152 cents
Quantity Eq::::: p = 3n
Quantity Eq::: q = n + 13
Quantity Eq::: n = d - 58
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Substitute and solve:
25(n+13) + 10(n+58) + 5n + 3n = 2152
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43n+ 905 = 2152
43n = 1247
n = 29 (# of nickels)
p = 3n = 87 (# of pennies)
q = n + 13 = 42 (# of quarters
d = n+58 = 87 (# of dimes)
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Cheers,
Stan H.
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The following problem can be worked in a similar manner.
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5) Lauren has a total of 270 pennies, nickels, and quarters. She has a total of $17.10. She has two times as many nickels as quarters and one-third as many quarters as pennies. How many each coin does she have?
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