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x tons of gravel

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by gmatnmein2010 » Fri Feb 19, 2010 8:11 pm
A contractor combined x tons of a gravel mixture that contained 10% gravel G, by weight, with y tons of a mixture that contained 2% gravel G, by weight, to produce z tons of a mixture that was 5% gravel G, by weight. What is the value of x?

1. y = 10
2. z = 16
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by ajith » Fri Feb 19, 2010 8:42 pm
gmatnmein2010 wrote:A contractor combined x tons of a gravel mixture that contained 10% gravel G, by weight, with y tons of a mixture that contained 2% gravel G, by weight, to produce z tons of a mixture that was 5% gravel G, by weight. What is the value of x?

1. y = 10
2. z = 16
At least 3 threads are there to address the same question,

https://www.beatthegmat.com/mba/search-r ... f+x%3F#890

and I did not even change a word from the question - Please do search before posting
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by shashank.ism » Sun Feb 21, 2010 2:31 am
gmatnmein2010 wrote:A contractor combined x tons of a gravel mixture that contained 10% gravel G, by weight, with y
tons of a mixture that contained 2% gravel G, by weight, to produce z tons of a mixture that was 5% gravel G, by weight.
What is the value of x?

1. y = 10
2. z = 16
weight of gravel in 1st mix = x/10
weight of gravel in 2nd mix = y/50
z=x+y
also x/10 +y/50 = z/20 = (x+y)/20 -->
10x+2y = 5(x+y) --> 5x=3y

St.1 ) y= 10 --> x = 3/5 x10 = 6 tons============suff.
St.2) z= 16 --> x+y =16 --> x+5/3 x = 16 --> x= 48/8 = 6 tons============suff.
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