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Here's another example: Amy is donating blood today! The Red Cross accepts one pint of blood per person per visit... then rewards you with juice and a sweet snack! If there are 2 pints in 1 quart, 1.06 quarts in 1 liter, and 10 deciliters in 1 liter, how many deciliters will she be donating? Step 1: What is the question you are asking? How many deciliters will she be donating? Step 2: What are the equivalencies you know? 2 pints= 1 1.06 quarts = 1 quart liter 10 deciliters = 1 liter Step 3: Turn the equivalencies into conversion factors in fraction form. All of the below are correct! It doesn't matter YET which way you write it. 2.pints 1 quart 1 quart 2 pints 1.06 quarts 1 liter 1 liter 1.06 quarts 10 deciliters 1 liter 1 liter 10 deciliters Step 4: Now write down what you started with in fraction form and then insert your fractions from step 3 so that the units cancel out and you end up with the units you want: DECILITERS!! Step 5: Multiply all the numbers across the top and then multiply all the numbers across the bottom. Then divide the top number by the bottom number.

Answer :

Using the given equivalencies and conversion factors, we can determine that Amy will be donating 5.3 deciliters of blood when she donates one pint. The conversion process allows us to convert the units and calculate the final result.

To calculate the number of deciliters Amy will be donating, we can use the given equivalencies as conversion factors:

2 pints / 1 quart

1 quart / 1.06 quarts

1 liter / 10 deciliters

Next, we write down what we started with, which is one pint, and set up the conversion factors so that the units cancel out and we are left with deciliters:

(1 pint) x (1 quart / 2 pints) x (1.06 quarts / 1 liter) x (10 deciliters / 1 liter)

By multiplying the numbers across the top and the numbers across the bottom, we get:

(1 x 1 x 1.06 x 10) / (2 x 1 x 1)

Simplifying the calculation, we have:

(10.6) / (2) = 5.3

Therefore, Amy will be donating 5.3 deciliters of blood.

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