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A salad dressing recipe for 2 servings calls for teaspoon lemon juice, cup olive oil, 2 tablespoon vinegar, and salt and pepper to taste. Recall that three teaspoons is a tablespoon, and two tablespoons is an eighth of a cup. Ramsey wants to make the dressing for 4 guests and 6 guests at different parties.
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The original recipe is for 2 servings. Assuming each guest has 1 serving, the original recipe will serve 2 guests. You can multiply the quantities in the recipe by 2 to get the quantities for 4 guests. You can multiply the quantities in the recipe by 3 for 6 guests. They give you the conversion factor three teaspoons/1 tablespoons and two tablespoons/1 eigth of a cup, so use these to convert between units as appropriate.
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