High School

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The instructions on a jar of instant coffee say to add 5 cups of water to every 4 tablespoons of coffee granules.

How many cups of water are needed for 10 tablespoons of coffee granules?

Answer :

Answer:

12.5 cups

Step-by-step explanation:

10/4 = 2.5

2.5 × 5 = 12.5

12.5 cups

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Rewritten by : Barada

To make a mixture with 10 tablespoons of coffee granules, one would need 12.5 cups of water based on the given ratio of 5 cups of water to 4 tablespoons of coffee granules.

The student is asking how many cups of water are needed for 10 tablespoons of coffee granules, given that the instructions specify 5 cups of water for every 4 tablespoons of coffee granules. To find the answer, we can set up a proportion since this is a direct relationship: for every increase in the quantity of coffee granules, there is a proportional increase in the amount of water needed.

We know that:

4 tablespoons of coffee require 5 cups of water (from the instructions).

X cups of water will be required for 10 tablespoons of coffee.

Now we can set up the proportion:

(4 tablespoons) / (5 cups) = (10 tablespoons) / (X cups)
By cross-multiplying and solving for X, we get:
(4 * X) = (5 * 10)
4X = 50
X = 50 / 4
X = 12.5 cups
So, 12.5 cups of water are needed for 10 tablespoons of coffee granules.