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# If cement, gravel, and sand are to be mixed in the ratio

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Current Student
Joined: 29 Jan 2005
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If cement, gravel, and sand are to be mixed in the ratio [#permalink]  27 Aug 2006, 06:55
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If cement, gravel, and sand are to be mixed in the ratio 3:5:7 respectively, and 5 tons of cement are available, how many tons of the mixture can be made?
Manager
Joined: 01 Jun 2006
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Re: PS Ratios [#permalink]  27 Aug 2006, 07:18
[quote="GMATT73"]If cement, gravel, and sand are to be mixed in the ratio 3:5:7 respectively, and 5 tons of cement are available, how many tons of the mixture can be made?[/quote]
Nothing if we don't have enough gravel and sand
But indeed weight of the mixture could be 5/3*(3+5+7)=25 tons
Senior Manager
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25 C:G:S 3 :5:7 if C=5 G=25/3 and S=35/3 sum =25
Senior Manager
Joined: 27 Jul 2006
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an easier way

7 +3 +5=15

15/3=5

for every ton of cement we get 5 tons of total mixture (assuming enough of the other stuff)

5*5=25 tons
Manager
Joined: 22 May 2005
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25 tinnes ..
cement = 3x
gravel = 5x
sand = 7x
now 3x = 5
=> x = 5/3
therefore
mixture = 5 + 5*5/3 + 7*5/3 = 25
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