QuestionIf 45 teaspoons of vegetable oil are used, how many teaspoons of vinegar are needed based on the ratio $9:6$ ?

Studdy Solution

STEP 1

Assumptions1. The recipe requires9 teaspoons of vegetable oil per serving. . The recipe requires6 teaspoons of vinegar per serving.
3. The number of servings is proportional to the amount of vegetable oil used.

STEP 2

First, we need to find out how many servings can be made with the given amount of vegetable oil. We can do this by dividing the total amount of vegetable oil used by the amount of vegetable oil required per serving.
$Number\, of\, servings = Total\, vegetable\, oil\, used / Vegetable\, oil\, per\, serving$

STEP 3

Now, plug in the given values for the total vegetable oil used and vegetable oil per serving to calculate the number of servings.
$Number\, of\, servings =45\, teaspoons /9\, teaspoons\, per\, serving$

STEP 4

Calculate the number of servings.
$Number\, of\, servings =45\, teaspoons /9\, teaspoons\, per\, serving =\, servings$

STEP 5

Now that we have the number of servings, we can find out how much vinegar is needed. This can be done by multiplying the number of servings by the amount of vinegar required per serving.
$Total\, vinegar\, needed = Number\, of\, servings \\times Vinegar\, per\, serving$

STEP 6

Plug in the values for the number of servings and the vinegar per serving to calculate the total vinegar needed.
$Total\, vinegar\, needed =5\, servings \\times6\, teaspoons\, per\, serving$

STEP 7

Calculate the total vinegar needed.
$Total\, vinegar\, needed =5\, servings \\times6\, teaspoons\, per\, serving =30\, teaspoons$ So,30 teaspoons of vinegar should be used.

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