boomgoesthegmat wrote:A glucose solution contains 15 grams of glucose per 100 cubic centimeters of solution. If 45 cubic centimeters of the solution were poured into an empty container, how many grams of glucose would be in the container?
A) 3
B) 5
C) 5.5
D) 6.5
E) 6.75
We are given that a glucose solution contains 15 grams of glucose per 100 cubic centimeters of solution. Since we are dealing with a solution, we know that the grams of glucose is proportional to the number of cubic centimeters of solution. Thus, to determine how many grams of glucose would be in the container when we have 45 cubic centimeters of solution, we can set up a proportion.
We can say: "15 grams of glucose is to 100 cubic centimeters of solution as x grams of glucose is to 45 cubic centimeters of solution." Let's now set up the proportion and solve for x.
15/100 = x/45
Cross multiplying, we obtain:
(15)(45) = 100x
675 = 100x
6.75 = x
There are 6.75 grams of glucose in the solution in the container.
E
