Question 1046068
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
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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 )
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For P:
{{{ .45*100 = 45 }}} ounces silver
{{{ .55*100 = 55 }}} ounces aluminum
For Q:
{{{ .3*450 = 135 }}} ounces silver
{{{ .35*450 = 157.5 }}} ounces copper
{{{ .35*450 = 157.5 }}} ounces aluminum
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{{{ 45 + 135 = 180 }}} ounces silver
{{{ 55 + 157.5 = 212.5 }}} ounces aluminum
{{{ 157.5 }}} ounces copper
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The total weight of P + Q is
{{{ 100 + 450 = 550 }}} ounces
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For silver:
{{{ 180/550 = .3273 }}}
33% silver
For copper:
{{{ 157.5/550 = .2864 }}}
29% copper
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check answers:
{{{ 1 - ( .33 + .29 ) = 1 - .62 }}}
{{{ 1 - .62 = .38 }}}
For aluminum:
{{{ 212.5/550 = .3864 }}}
39%
this looks close enough
Hop I got it!