I previously posted this today at 5:39 am and I am reposting this because I don't want this to be buried with other unanswered questions and I realized this was the wrong subject.
Please check the 2 questions/problems along with my answers. Thank you tutors.
Writing Ratios
1. Top-of-the-line monster masks are made of rubbery silicone, using a liquid silicone base and a catalyst (substance that speeds up a chemical reaction) in a ratio of 1 to 1. What is the ratio of catalyst to total ingredients?
My answer: 1:2, 1 to 2, or 1/2
2. You want to make a bright-red silicone mask. For every 100 grams of silicone mix, you need to add 5 grams of red coloring.
2A. What is the ratio of total ingredients to coloring in simplest terms?
My answer: 105 to 5
2B. If you start with 150 grams of silicone mix, how many grams of coloring will you need?
My answer: 7.5 g
1. right
2. right , right
Thank you tutor Damon for reviewing and checking my questions with my answers. Much appreciated by me.
You are welcome.
To answer the first question about the ratio of catalyst to total ingredients in the monster masks, the given information states that the ratio of liquid silicone base to catalyst is 1 to 1. To find the ratio of catalyst to total ingredients, you need to consider that the total ingredients consist of the liquid silicone base and the catalyst.
Since the ratio of liquid silicone base to catalyst is 1 to 1, this means that for every 1 part of the base, there is 1 part of the catalyst. We can represent this as 1:1. Therefore, the ratio of catalyst to total ingredients will also be the same, which is 1:1. This means that for every part of the catalyst, there is an equal part of the total ingredients. So, the answer is 1:1.
Moving on to the second question regarding the ratio of total ingredients to coloring in simplest terms, you are given that for every 100 grams of silicone mix, you need to add 5 grams of red coloring. To find the ratio of total ingredients (silicone mix + coloring) to coloring, you need to consider the given quantities.
For every 100 grams of silicone mix, there are 5 grams of red coloring. We can represent this as 100:5. To simplify this ratio, you can divide both numbers by their greatest common factor. In this case, the greatest common factor of 100 and 5 is 5. Dividing both numbers by 5, you get 20:1. So, the ratio of total ingredients to coloring is 20:1.
Now, addressing the second part of question 2B, you started with 150 grams of silicone mix. The question asks how many grams of coloring you will need.
Since the ratio of total ingredients to coloring is 20:1, you can set up a proportion to solve for the missing quantity. The proportion is:
(150 grams silicone mix) / (x grams coloring) = (20) / (1)
Cross-multiplying, you get:
150 * 1 = 20 * x
150 = 20x
Dividing both sides by 20, you find that x = 7.5 grams. Therefore, you will need 7.5 grams of coloring.