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. ratio |
Saturated | Mono unsaturated |
Poly unsaturated |
|||||
| Capric Acid C10:0 |
Lauric Acid C12:0 |
Myristic Acid C14:0 |
Palmitic Acid C16:0 |
Stearic Acid C18:0 |
Oleic Acid C18:1 |
Linoleic Acid (ω6) C18:2 |
Alpha Linolenic Acid (ω3) C18:3 |
||
| Canola Oil | 15.7 | – | – | – | 4 | 2 | 62 | 22 | 10 |
| Olive Oil | 4.6 | – | – | – | 13 | 3 | 71 | 10 | 1 |
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%
| Oil | %sat | %mono | %poly |
|---|---|---|---|
| Canola | 6 | 62 | 32 |
| Olive | 16 | 71 | 11 |
| Mixture | 7 | 64 | 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.
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