SOLUTION: I cannot figure a few word problems out and was wondering if you could help me set the two equations up. 1. How many gallons each of 15% alcohol and 30% alcohol should be mixed

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Question 729515: I cannot figure a few word problems out and was wondering if you could help me set the two equations up.
1. How many gallons each of 15% alcohol and 30% alcohol should be mixed to get 30 gallons of 25% alcohol
2. A box contains $6.25 in nickles, dimes and quarters. There are 85 coins in all, with three times as many nickles as dimes. How many quarters are there

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Here are set-ups:
(1)
Let +a+ = gallons of 15% alcohol needed
Let +b+ = gallons of 30% alcohol needed
given:
+a+%2B+b+=+30+
+%28+.15a+%2B+.3b+%29+%2F+30+=+.25+
-------------------------
(2)
Let +n+ = number of nickels in box
Let +d+ = number of quarters in box
given:
+n+%2B+d+%2B+q+=+85+
+n+=+3d+
+5n+%2B+10d+%2B+25q+=+625+ ( in cents )