SOLUTION: The volume of a mixture of sand, gravel, and cement are in the ratio of 2 to 1 to 3. If 1 cubic foot of each item weighs 30, 40, and 20 pound respectively, what is the ratio

Algebra ->  Expressions -> SOLUTION: The volume of a mixture of sand, gravel, and cement are in the ratio of 2 to 1 to 3. If 1 cubic foot of each item weighs 30, 40, and 20 pound respectively, what is the ratio       Log On


   



Question 1042826: The volume of a mixture of sand, gravel, and cement are in the ratio of 2 to 1 to 3. If 1 cubic foot of each item weighs 30, 40, and 20 pound respectively, what is the ratio of the weights of sand to gravel to cement in this mixture?
A) 3:1:2
B) 3:2:3
C) 2:1:3
D) 3:1:3

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The volume of a mixture of sand, gravel, and cement are in the ratio of 2 to 1 to 3. If 1 cubic foot of each item weighs 30, 40, and 20 pound respectively, what is the ratio of the weights of sand to gravel to cement in this mixture?
--------------
Volume
sand = 2x
gravel = x
cement = 3x
-----------------
Weight::
sand:: 2x*30 = 60x
gravel:: x = 40x
cement:: 3x*20 = 60x
---------------------
Ratio of weights::
60x:40x:60x = 3:2:3
-----
Cheers,
Stan H.
------------

A) 3:1:2
B) 3:2:3
C) 2:1:3
D) 3:1:3