Problem

At Stan's Smoothies, all the drinks are made from ice cubes and fruit. The amount of ice cubes and fruit varies depending on the size of the drink, but the ratio of ice cubes to fruit is always $4: 1$.
a. How many ice cubes should Stan use if he's going to use 3 pieces of fruit?
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b. How much fruit should Stan use if he's going to use 20 ice cubes?
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Final Answer: Stan should use \(\boxed{12}\) ice cubes if he's going to use 3 pieces of fruit.

Steps

Step 1 :The question is asking for the amount of ice cubes Stan should use if he's going to use 3 pieces of fruit. Given the ratio of ice cubes to fruit is 4:1, we can set up a proportion to solve for the unknown.

Step 2 :Let's denote the ratio of ice cubes to fruit as \(\frac{4}{1}\).

Step 3 :Let's denote the amount of fruit Stan is going to use as 3.

Step 4 :By cross multiplying, we can find the amount of ice cubes Stan should use: \(4 \times 3 = 12\).

Step 5 :Final Answer: Stan should use \(\boxed{12}\) ice cubes if he's going to use 3 pieces of fruit.

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