A salt solution contains 15 grams of salt per 1000 cubic centimeters of solution.
A salt solution contains 15 grams of salt per 1000 cubic centimeters of solution. If 25 cubic centimeters of the solution were poured into an empty container, how many grams of salt would be in the container?
Answer/Solution
0.375
Steps/Work
We are given that a salt solution contains 15 grams of salt per 1000 cubic centimeters of solution. Since we are dealing with a solution, we know that the grams of salt is proportional to the number of cubic centimeters of solution. Thus, to determine how many grams of salt would be in the container when we have 25 cubic centimeters of solution, we can set up a proportion.
We can say: “15 grams of salt is to 1000 cubic centimeters of solution as x grams of salt is to 25 cubic centimeters of solution.” Let’s now set up the proportion and solve for x.
15/1000 = x/25
When we cross multiply we obtain:
(15)(25) = 1000x
375 = 1000x
0.375 = x
There are 0.375 grams of salt in the solution in the container.
The answer is E.
We can say: “15 grams of salt is to 1000 cubic centimeters of solution as x grams of salt is to 25 cubic centimeters of solution.” Let’s now set up the proportion and solve for x.
15/1000 = x/25
When we cross multiply we obtain:
(15)(25) = 1000x
375 = 1000x
0.375 = x
There are 0.375 grams of salt in the solution in the container.
The answer is E.