SOLUTION: Rachel makes a bank deposit of Php 595.00 with 97 pcs of P5 and P10 coins. How many of each kind of coin did she deposit?

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Question 888901: Rachel makes a bank deposit of Php 595.00 with 97 pcs of P5 and P10 coins. How many of each kind of coin did she deposit?
Answer by nerdybill(7384) About Me  (Show Source):
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Rachel makes a bank deposit of Php 595.00 with 97 pcs of P5 and P10 coins. How many of each kind of coin did she deposit?
,
Let x = number of P5 coins
then
97-x = number of P10 coins
,
5x + 10(97-x) = 595
5x + 970-10x = 595
970-5x = 595
-5x = -375
x = 75 (number of P5 coins)
.
number of P10 coins:
97-x = 97-75 = 22