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When multiplying conversion factors, make sure the only remaining units are the desired units.
C
We are given that a salt truck drops 39 kilograms of salt per minute. We want to find how many grams of salt the truck drops per second. Therefore, we want to change kilograms per minute into grams per second. 39 kg/1 min=g/1 sec Let's start by organizing the relationships between the units in a table.
| Starting Unit | Converted Unit | Unit Ratio |
|---|---|---|
| 1 kilogram | 1000 grams | 1000g/1kg |
| 1 minute | 60 seconds | 60sec/1min |
To perform this conversion, we need to multiply the given value by each unit ratio or its reciprocal. Remember, we want to arrange these ratios such that every unit we do not want gets canceled out and only the units that we want will remain.
Multiply fractions
Cancel out common factors
Simplify quotient
Multiply
Write as a product of fractions
a/b=.a /60./.b /60.
Use a calculator
a/a=1
Multiply fractions
We got that the salt truck drops 650 grams of salt per second. This means that the correct option is C
Around the world, people use conversion factors on a regular basis. You can read more about some practical applications of conversion factors in our original content.