SOLUTION: Anne's purse has PhP 6.00 coins which contains 5 centavo, 10 centavo and 25 centavo. The number of 10 centavo coin is three times as many 5 centavo coin and the 25 centavo coin is

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Question 997466: Anne's purse has PhP 6.00 coins which contains 5 centavo, 10 centavo and 25 centavo. The number of 10 centavo coin is three times as many 5 centavo coin and the 25 centavo coin is two more than the 10 centavo coin. How many coins of each type were there?
Answer by CubeyThePenguin(3113) About Me  (Show Source):
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n = number of 5 centavo coins
d = number of 10 centavo coins
q = number of 25 centavo coins

5n + 10d + 25q = 600
d = 3n
q = d + 2 = 3n + 2

Write everything in terms of n.

5n + 10(3n) + 25(3n + 2) = 600
5n + 30n + 75n + 50 = 600
110n = 550
n = 5

There are 5 5-centavo coins, 15 10-centavo coins, and 17 25-centavo coins.