Canola oil and olive oil mixture
While shopping for groceries, you notice a new cooking oil product consisting of a blend of canola oil and olive oil. The label does not say in what proportions the oils are mixed, but the Nutrition Facts panel says that a 14 gram serving has 1 gram of saturated fat, 9 grams of monounsaturated fat, and 4 grams of polyunsaturated fat. What percentage of olive oil does the blend contain?
To calculate the proportion of the constituents of the blend, we need to find out the fatty acid profiles of canola oil and olive oil, and then determine what combination would yield the fatty acid profile of the mixture. We start by looking at the fatty acid composition table:
|Oil or Fat||Unsat./Sat.
We calculate the percentage of saturated (%sat), monounsaturated (%mono), and polyunsaturated (%poly) fat for the mixture, and tabulate the saturation profiles for the three oils.
Calculation of the fatty acid percentages for the oil mixture:
%sat = 100×1/14 = 7%
%mono = 100×9/14 = 64%
%poly = 100×4/14 = 29%
We notice that the percentages do not add to 100% for olive oil due to rounding and other constituents not listed. This just means that our answer will not be as accurate as it could be with better analytical data.
If X represents the fraction of olive oil in the mixture, (1-X) is the fraction of canola oil. The proportion of the components can be calculated for the saturated, monounsaturated, and polyunsaturated components separately to arrive at three different answers.
More puzzles to try-
- 3 + 3 = 3 5 + 4 = 4 1 + 0 = 3 2 + 3 = 4 ...Read More »
- Five puzzleFry ship’s pirates have obtained 100 gold coins and have to divide up the loot. The pirates are all ...Read More »
- There are 10 stacks of 10 coins each. Each coin weights 10 gms. However, one stack of coins is defective ...Read More »
- Dr.Willam wants to operate for three different persons who were wounded. But he had only two surgical gloves. There is ...Read More »
- Which clock works best? The one that loses a minute a day or the one that doesn’t work at all?Read More »
- In the gear arrangement, To which one will the needle touch, 1 OR 2Read More »
- A man leaves his house in the morning to go to office and kisses his wife. In the evening on ...Read More »
- Which letter replaces the question markRead More »
- A bridge will collapse in 17 minutes. 4 people want to cross it before it will collapse. It is a ...Read More »
- In a country where everyone wants a boy, each family continues having babies till they have a boy. After some ...Read More »
- A devotee goes to three temples, temple1, temple2 and temple3 one after the other. In front of each temple, there ...Read More »
- There is a perfectly accurate analog watch with hour, minute, and second hands. How many times a day do all three ...Read More »
- Four days are there which start with the letter ‘T‘. I can remember only two of them as “Tuesday , Thursday”. ...Read More »
- Two fathers took their sons to a fruit stall. Each man and son bought an apple, But when they returned ...Read More »
- A farmer is taking her eggs to the market in a cart, but she hits a pothole, which knocks over ...Read More »
- In the middle of the confounded desert, there is the lost city of “Ash”. To reach it, you will have ...Read More »
- Solve this logic sequence puzzle by the correct digit- 8080 = 6 1357 = 0 2022 = 1 1999 = ...Read More »
- Jasmine, Thibault, and Noah were having a night out and decided to order a pizza for $10. It turned out ...Read More »
- A murderer is condemned to death. He has to choose between three rooms. The first is full of raging fires, ...Read More »
- Some numbers are very mysterious. They are all integers. They have more than one digit. If you multiply them with ...Read More »