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The density of a certain material is such that it weighs 7 ounces for every 3 pints of volume. Express this density in grams per quart. Round your answer to the nearest whole number.

A) 234 g/qt
B) 294 g/qt
C) 218 g/qt
D) 180 g/qt

1 Answer

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Final answer:

To convert the material's density from ounces per pint to grams per quart, convert 7 ounces to 198.45 grams, then divide by 1.5 quarts to get 132.3 grams per quart, and round to 132 g/qt.

Step-by-step explanation:

The student is asked to convert the density of a material from ounces per pint to grams per quart. Given that the material weighs 7 ounces for every 3 pints, we need to use relevant conversion factors to change the units to grams per quart.

First, we convert 7 ounces to grams. There are approximately 28.35 grams in one ounce. So, 7 ounces is 7 × 28.35 grams, which equals 198.45 grams. Next, we convert 3 pints to quarts since there are 2 pints in a quart. Hence, 3 pints is 1.5 quarts.

To find the density in grams per quart, we divide the mass in grams by the volume in quarts: 198.45 grams ÷ 1.5 quarts which equals 132.3 grams per quart. Rounding to the nearest whole number, the answer is 132 g/qt.

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