Question

Explain how to do it: The average weight of the chimpanzees at a zoo is 52 kilograms. If 1 gram ≈0.0353 ounce, use dimensional analysis to find the average weight of a chimpanzee in pounds. (Hint: 1 lb = 16 oz)
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Answer 1

We would be using conversion rates and dimensional analysis to solve this question.

The average weight of the chimpanzee in pounds is 114.73 lb

Step 1: 1 kg = 1000 g

Convert 52 kg to grams

1 kg = 1000g

52 kg = ?

Cross Multiply

52 kg x 1000g / 1 kg

= 52,000g

Step 2: Convert from grams to ounce

1 gram = 0.0353 ounce

52,000 g = ?

Cross Multiply

52,000g x 0.0353

= 1,835.60 ounces

Step 3: Convert from 0unces to pounds

16 oz = 1 lb

1835.6 = ?

Cross Multiply

1835.6 oz x 1 lb / 16

= 114.73 lb

Step 4: Using Dimensional analysis:

52 kg x  1000g/1 kg  x  0.0353 oz/ 1 gram  x  1 lb/16 0z  

= 114.73 lb

Therefore, the average weight of the chimpanzee in pounds is 114.73 lb.

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