High School

If there are exactly 2.2 pounds in a kilogram and 7000 grains in a pound, how many grams are represented by 20 grains?

A) 0.002 grams
B) 0.02 grams
C) 0.2 grams
D) 2 grams

Answer :

Given conversion factors for grains to pounds, and pounds to kilograms, we can find the number of grams represented by 20 grains. Steps include calculating the number of grains in a kilogram, converting that to grains in a gram, and then using that conversion factor to find how many grams are represented by 20 grains. The calculated result is approximately 1.299 grams, so the closest answer provided is D) 2 grams.

First, let's determine how many grains are in a single gram. Given that there are 7000 grains in a pound and 2.2 pounds in a kilogram (or 2200 grams), we can calculate the number of grains in 1 gram.

Step 1: Find the total number of grains in a kilogram. 7000 grains/lb * 2.2 lb/kg = 15,400 grains/kg.

Step 2: Convert grains in a kilogram to grains in a gram. Since there are 1000 grams in a kilogram, divide 15,400 grains/kg by 1000 g/kg. 15,400 grains/kg / 1000 g/kg = 15.4 grains/g.

Learn more about Weight Conversion here:

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