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The ratio of flour to breadcrumbs in the recipe is [tex]2:3[/tex]. The total of both ingredients is 30 tablespoons. How many tablespoons of each ingredient are used?

Answer :

To solve the problem of finding how many tablespoons of flour and breadcrumbs are used in the recipe given the ratio and total amount, you can follow these steps:

1. Understand the Ratio: The problem states that the ratio of flour to breadcrumbs is 2:3. This means for every 2 parts of flour, there are 3 parts of breadcrumbs.

2. Total Parts: To find out the total parts the ratio represents, add the parts of flour and breadcrumbs together:
[tex]\(2 + 3 = 5\)[/tex] parts.

3. Total Tablespoons: The total amount of these ingredients together is 30 tablespoons.

4. Determine Amount Per Part: Since these 5 parts together equal 30 tablespoons, each part represents:
[tex]\(\frac{30}{5} = 6\)[/tex] tablespoons per part.

5. Calculate Amount of Flour: Since flour is 2 parts of the ratio:
[tex]\(2 \times 6 = 12\)[/tex] tablespoons of flour.

6. Calculate Amount of Breadcrumbs: Since breadcrumbs make up 3 parts of the ratio:
[tex]\(3 \times 6 = 18\)[/tex] tablespoons of breadcrumbs.

So, the recipe uses 12 tablespoons of flour and 18 tablespoons of breadcrumbs.

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