Answer :
Final answer:
The ratio for the drinks is 6 cups of water to 1 tablespoon of coffee.
Explanation:
The coffee shop uses 9 cups of water and 1 1/2 tablespoons of coffee. To determine the ratio of cups of water to 1 tablespoon of coffee, we can set up a proportion:
(9 cups of water) : (1.5 tablespoons of coffee) = x cups of water : 1 tablespoon of coffee
To solve the proportion, we can cross-multiply and divide. Cross-multiplying gives us 9 * 1 tablespoon of coffee = x * 1.5 tablespoons of coffee. Simplifying, we get 9 = 1.5x. Dividing both sides by 1.5 gives us x = 6.
Therefore, the ratio for the drinks is 6 cups of water to 1 tablespoon of coffee.
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