The ratio of a compound, by weight, consisting only of substances x, y, and z is 4:6:10,
respectively. Due to a dramatic increase in the surrounding temperature, the composition of the
compound is changed such that the ratio of x to y is halved and the ratio of x to z is tripled. In the
changed compound, if the total weight is 116 lbs, how much does substance x weigh? Pick:  A) 48  B) 36  C) 24  D) 12  E) 10
x:y=4:6   if the ratio is halevd then x:y=2:6   The old ratio of x to z was 4:10. If this ratio is tripled, then the new ratio of x to z is 12:10.   x:y=2:6=12:36 ( multiplied the ration with 6/6 to have a common co eff x in both the rations x:y and x:z)   so x:y:z= 12:36:10   and we know x + y + z = 116 lbs   from the ratio of x ,y and z we have x=12k y=36k z=10K   put it in the equation we have 12k+36k+10k=116   k=2   Hence x=12(2)=24   Ans 24
<result>C</result>
The ratio of a compound, by weight, consisting only of substances x, y, and z is 4:6:10,
respectively. Due to a dramatic increase in the surrounding temperature, the composition of the
compound is changed such that the ratio of x to y is halved and the ratio of x to z is tripled. In the
changed compound, if the total weight is 116 lbs, how much does substance x weigh?