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1 ounce = 28.57 grams. A quarter coin has a mass of 5.76 grams. How many ounces is it?

Show your work below.

A. 0.20 oz
B. 0.25 oz
C. 0.30 oz
D. 0.35 oz

Answer :

Final answer:

To convert from grams to ounces, use the mass of the quarter (5.76 grams) and multiply it by the conversion factor (1 ounce/28.57 grams) to get approximately 0.20 ounces. Hence, a quarter weighs about 0.20 ounces.

Explanation:

To convert the mass of a quarter coin from grams to ounces, we can use a unit conversion factor. The question states that 1 ounce is equal to 28.57 grams, though a more precise value from the English units conversion table is that 1 ounce equals 28.349 grams. We will use the given value of 28.57 grams for this calculation.

Step 1: Identify the mass of the quarter coin.
The coin's mass is given as 5.76 grams.

Step 2: Write the conversion factor based on the provided information.
1 ounce = 28.57 grams.

Step 3: Set up the conversion equation.
We multiply the mass of the quarter (in grams) by the conversion factor, so that gram units cancel out, leaving the mass in ounces.

Mass in ounces = mass in grams × (1 ounce/28.57 grams)

Step 4: Calculate the mass in ounces.
Mass in ounces = 5.76 grams × (1 ounce/28.57 grams) ≈ 0.20 ounces

This means the quarter coin has a mass of approximately 0.20 ounces.

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