SOLUTION: A purse contains P5.00 in 10 cents- and 25 cents- coins. If there are a total of 30 coins, find how many of each kind are there in the purse.

Algebra ->  Permutations -> SOLUTION: A purse contains P5.00 in 10 cents- and 25 cents- coins. If there are a total of 30 coins, find how many of each kind are there in the purse.       Log On


   



Question 1058999: A purse contains P5.00 in 10 cents- and 25 cents- coins. If there are a total of 30 coins, find how many of each kind are there in the purse.

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A purse contains P5.00 in 10 cents- and 25 cents- coins. If there are a total of 30 coins, find how many of each kind are there in the purse.
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Quantity Eq:: t + q = 30 coins
Value Eq::: 10t + 25q = 500 cents
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Modify::
2t + 2q = 60
2t + 5q = 100
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Subtract and solve for "q":
3q = 40
q = 13 1/3 (# of quarters: Note: this does not make sense)
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Solve for "t":
t + q = 30
t + 13 1/3 = 30
t = 16 2/3 (# of dimes: Note: this does not make sense)
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Cheers,
Stan H.
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