SOLUTION: A 5 litre bottle of liquid fertiliser needs to be diluted in the ratio of 5parts water to 2 parts fertiliser. How many litres of water needed to dilute the 5 litres?

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Question 943900: A 5 litre bottle of liquid fertiliser needs to be diluted in the ratio of 5parts water to 2 parts fertiliser. How many litres of water needed to dilute the 5 litres?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
( water ) / ( fertilizer ) = +5%2F2+
( water + fertilizer ) = 5 litres
( fertilizer ) = ( 5 - water ) litres
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Let +w+ = litres of water needed
+w+%2F+%28+5+-+w+%29+=+5%2F2+
+w+=+%28+5%2F2+%29%2A%28+5+-+w+%29+
+2w+=+5%2A%28+5+-+w+%29+
+2w+=+25+-+5w+
+7w+=+25+
+w+=+3.571+
3.571 litres of water are needed
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check:
+w+%2F+%28+5+-+w+%29+=+5%2F2+
+3.571+%2F+%28+5+-+3.571+%29+=+5%2F2+
+3.571+%2F+1.429+=+5%2F2+
+2%2A3.571+=+5%2A1.429+
+7.142+=+7.145+
OK
error due to rounding off, I think
also:
( fertilizer + water ) = 5 liters
+%28+5+-+w+%29+%2B+w++=+5+
+1.429+%2B+3.571+=+5+
+5+=+5+
OK