SOLUTION: In a purse is a ₱3.05 in 5-centavo and 10-centavo coins. There are 19 more 5-centavo coins than 10-centavo coins. How many coins does he have in the purse?

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Question 985641: In a purse is a ₱3.05 in 5-centavo and 10-centavo coins. There are 19 more 5-centavo coins than 10-centavo coins. How many coins does he have in the purse?

Answer by CubeyThePenguin(3113) About Me  (Show Source):
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n = number of 5-centavo coins
d = number of 10-centavo coins

5n + 10d = 305
n = d + 19

Substitute the second equation into the first.

5(d + 19) + 10d = 305
5d + 95 + 10d = 305
15d = 210
d = 14

There are 33 5-centavo coins and 14 10-centavo coins.