The proportion of oil to vinegar in a salad dressing is 3:1. How much vinegar and how much oil are needed to be combined to make a total of 8 ounces of dressing?
Hint: Express the amount of oil in terms of the total, minus the amount of vinegar.
What will be an ideal response?
Let x= amount of oil in oz.
Let v = the amount of vinegar in oz.
Proportion of oil to vinegar is x / v=3/ 1
Express the oil in terms of the total and the amount of vinegar (8 — v) / v = 3 / 1 Then: 3v = 8 — v 3v + v = 8 4v = 8 v = 2
If v = 2 then x = 8 — 2 = 6
Thus, there will be 2 oz. of vinegar and 6 oz. of oil.
Check: The proportion of oil to vinegar is 6 / 2 = 3 / 1, same as 3:1
Add 2 + 6 = 8, the correct total.
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