Question

1:100 ratio strength for a solution contains g of active ingredient in 100. How many grams of active ingredient are present in 475 of this solution?

A) 4.75 g of active ingredient
B) 47.5 g of active ingredient
C) 475 g of active ingredient
D) 4,750 g of active ingredient

Answer 1

The question requires calculating the amount of active ingredient in a solution with a 1:100 ratio strength. The calculation involves setting up a simple proportion based on the given ratio. After cross-multiplying and dividing, we find that there are 4.75 grams of active ingredient in 475 grams of the solution.

Step-by-step explanation:

The question asks us to determine the amount of active ingredient in 475 grams of a solution with a 1:100 ratio strength. The ratio indicates that there is 1 gram of active ingredient for every 100 grams of solution. To find out how many grams of active ingredient are in 475 grams of this solution, we use a simple proportion:

For 100 grams of solution - there is 1 gram of active ingredient.

For 475 grams of solution - there will be X grams of active ingredient.

The proportion is:

100 g solution : 1 g active ingredient = 475 g solution : X g active ingredient

To solve for X, we cross-multiply and divide:

X = (1 g active ingredient * 475 g solution) / 100 g solution

Therefore, X = 4.75 g of active ingredient. The correct answer is option A).