SOLUTION: There are two alloys P and Q made up of silver, copper and aluminium. Alloy P contains 45% silver and rest aluminum. Alloy Q contains 30% silver, 35% copper and rest aluminium. All

Algebra ->  Absolute-value -> SOLUTION: There are two alloys P and Q made up of silver, copper and aluminium. Alloy P contains 45% silver and rest aluminum. Alloy Q contains 30% silver, 35% copper and rest aluminium. All      Log On


   



Question 1046068: There are two alloys P and Q made up of silver, copper and aluminium. Alloy P contains 45% silver and rest aluminum. Alloy Q contains 30% silver, 35% copper and rest aluminium. Alloys P and Q are mixed in the ratio of 1 : 4.5. The approximate percentages of silver and copper in the newly formed alloy is
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
No units of measure are given, so I could say
P and Q have units of ounces, grams, or whatever.
I could even make up units
-----------------------------
I'll say there are +100+ ounces of +P+ so there
must be +450+ ounces of Q
( this is a ratio of 1:4.5 )
------------------------------
For P:
+.45%2A100+=+45+ ounces silver
+.55%2A100+=+55+ ounces aluminum
For Q:
+.3%2A450+=+135+ ounces silver
+.35%2A450+=+157.5+ ounces copper
+.35%2A450+=+157.5+ ounces aluminum
-------------------------------------
+45+%2B+135+=+180+ ounces silver
+55+%2B+157.5+=+212.5+ ounces aluminum
+157.5+ ounces copper
---------------------------------------
The total weight of P + Q is
+100+%2B+450+=+550+ ounces
----------------------------
For silver:
+180%2F550+=+.3273+
33% silver
For copper:
+157.5%2F550+=+.2864+
29% copper
----------------------
check answers:
+1+-+%28+.33+%2B+.29+%29+=+1+-+.62+
+1+-+.62+=+.38+
For aluminum:
+212.5%2F550+=+.3864+
39%
this looks close enough
Hop I got it!