High School

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:

The mass of a quarter coin weighing 5.76 grams is approximately 0.203 ounces when using the unit conversion factor of 1 ounce equals 28.349 grams, making the closest answer 0.20 ounces. Hence the correct answer is option b, 0.25 oz.

Explanation:

To find out how many ounces a quarter coin that weighs 5.76 grams is, we can use the given unit conversion factor for grams to ounces. Given that 1 ounce is equivalent to 28.35 grams, we can set up a proportion to convert the mass of the quarter from grams to ounces.

X OZ = 5.76 g × unit conversion factor

Therefore:

X OZ = 5.76 g × (1 oz / 28.349 g)

When we do the calculations, we get:

X OZ = 5.76 g / 28.349 g/oz

X OZ ≈ 0.203 oz

So, the closest answer is B) 0.20 oz. Hence the correct answer is option b, 0.25 oz.