
#1
November 29th, 2013,
10:33
A gym offers a variety of weights for use by its members. If there are 6 more 50pound weights than 100pound weights and three times as many 20pound
weights as 50pound weights, for a total of 3180
pounds, how many of each weight are there?
this is howi solved it,
let
$x=$ # of 100 pound weights
$x+6=$ # of 50 pound weights
$3(x+6)=$ # of 20 pound weights
my equation,
$x+x+6+3(x+6)=3180=2x+3x+24=3180=5x+24=3180$ and then $x=631.2$
there are 631.2 (100 pound weights), 637.2(50 pound weeights), and 1911.6 (20 pound weights)
but my answers didn't make sense. because it's not a whole number. i expect to get a whole number.
can you help me with this. thanks.

November 29th, 2013 10:33
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#2
November 29th, 2013,
10:41
You are using the number of weights rather than the weight of each set in your equation. You want:
$ \displaystyle x(100\text{ lb})+(x+6)(50\text{ lb})+3(x+6)(20\text{ lb})=3180\text{ lb}$