
Sixteen ounces is equal to one pound, and one tonne is equal to $ 2,000 $ pounds. How many ounces equal two tonnes?
A. $ 4,000 $
B. $ 16,000 $
C. $ 32,000 $
D. $ 32,016 $
E. $ 64,000 $
Answer
509.7k+ views
Hint: From the given data, find the correlation between the tonne, pounds and ounces and frame the equation for the required resultant value and simplify using the basic multiplication operator.
Complete step-by-step answer:
Given that: Sixteen ounces is equal to one pound, and one tonne is equal to $ 2,000 $ pounds
Convert the given word statements in the form of mathematical expressions.
$ 16 $ ounces $ = 1 $ pound …. (A)
$ 1 $ tonne $ = 2000 $ pounds
Multiplying with the number the above expression –
$ 2 $ tonne $ = 2000 \times 2 $ pounds
Simplify the above expression –
$ 2 $ tonne $ = 4000 $ pounds
Equation A can be re-written as
$ 1 $ pound $ = 16 $ ounces
Therefore, $ 4000 $ pounds $ = 16 \times 4000 $ ounces
Simplify the above equation finding the product of the terms
$ 4000 $ pounds $ = 64000 $ ounces
Hence, $ 2 $ tonne will be equal to $ 64000 $ ounces
From the given multiple choices, the option E is the correct answer.
So, the correct answer is “Option E”.
Note: Read the given word statements twice and frame the mathematical expression and check it twice. Be good in multiples and remember at least till twenty. Don’t get confused with the relation for ounces, tonnes and the pounds.
Complete step-by-step answer:
Given that: Sixteen ounces is equal to one pound, and one tonne is equal to $ 2,000 $ pounds
Convert the given word statements in the form of mathematical expressions.
$ 16 $ ounces $ = 1 $ pound …. (A)
$ 1 $ tonne $ = 2000 $ pounds
Multiplying with the number the above expression –
$ 2 $ tonne $ = 2000 \times 2 $ pounds
Simplify the above expression –
$ 2 $ tonne $ = 4000 $ pounds
Equation A can be re-written as
$ 1 $ pound $ = 16 $ ounces
Therefore, $ 4000 $ pounds $ = 16 \times 4000 $ ounces
Simplify the above equation finding the product of the terms
$ 4000 $ pounds $ = 64000 $ ounces
Hence, $ 2 $ tonne will be equal to $ 64000 $ ounces
From the given multiple choices, the option E is the correct answer.
So, the correct answer is “Option E”.
Note: Read the given word statements twice and frame the mathematical expression and check it twice. Be good in multiples and remember at least till twenty. Don’t get confused with the relation for ounces, tonnes and the pounds.
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