Jason eats 10 ounces of candy in 5 days. How many pounds does he eats per day? How long will it take Jason to eat 1 pound of candy?
Answer
584.7k+ views
Hint:
We will first recall the concept of unit conversion and measurement and we will apply the unitary method to solve the above question. Since we know that 1 pound is equal to 16 ounces. So, we will use the above relation between ounces and pound to solve the given question.
Complete step by step answer:
We will use the concept of unit and conversion, a unitary method to solve the above question.
We can see from the question that the amount of candy Jason eats in 5 days = 10 ounces.
So, by a unitary method we can say that amount of candy Jason eats in 1 day = $ \dfrac{10}{5} $ ounces = 2 ounces.
And, from unit and conversion, we know that 1 pound is equal to 16 ounces.
So, we can say that 1 ounce is equal to $ \dfrac{1}{16} $ pounds, (by unitary method)
Hence, 2 ounces will be equal to $ 2\times \dfrac{1}{16} $ pounds = $ \dfrac{1}{8} $ pounds.
Thus, amount of candy (in pounds) Jason eats per days = 2 ounces = $ \dfrac{1}{8} $ pounds.
Now, we know that Jason eats $ \dfrac{1}{8} $ pound of candy in 1 day.
So, the number of days Jason takes to eat 1 pound of candy = $ 1\times 8 $ days = 8 days.
Hence, Jason eats $ \dfrac{1}{8} $ pound of candy per days and he will take 8 days to eat 1 pound of candy.
Note:
Students are required to note that we do unit conversion only between different units of measurement of the same quantities typically by multiplying them with a conversion factor. We are required to memorize the conversion factor of pounds to ounces conversion of unit otherwise we will not be able to solve the above question.
We will first recall the concept of unit conversion and measurement and we will apply the unitary method to solve the above question. Since we know that 1 pound is equal to 16 ounces. So, we will use the above relation between ounces and pound to solve the given question.
Complete step by step answer:
We will use the concept of unit and conversion, a unitary method to solve the above question.
We can see from the question that the amount of candy Jason eats in 5 days = 10 ounces.
So, by a unitary method we can say that amount of candy Jason eats in 1 day = $ \dfrac{10}{5} $ ounces = 2 ounces.
And, from unit and conversion, we know that 1 pound is equal to 16 ounces.
So, we can say that 1 ounce is equal to $ \dfrac{1}{16} $ pounds, (by unitary method)
Hence, 2 ounces will be equal to $ 2\times \dfrac{1}{16} $ pounds = $ \dfrac{1}{8} $ pounds.
Thus, amount of candy (in pounds) Jason eats per days = 2 ounces = $ \dfrac{1}{8} $ pounds.
Now, we know that Jason eats $ \dfrac{1}{8} $ pound of candy in 1 day.
So, the number of days Jason takes to eat 1 pound of candy = $ 1\times 8 $ days = 8 days.
Hence, Jason eats $ \dfrac{1}{8} $ pound of candy per days and he will take 8 days to eat 1 pound of candy.
Note:
Students are required to note that we do unit conversion only between different units of measurement of the same quantities typically by multiplying them with a conversion factor. We are required to memorize the conversion factor of pounds to ounces conversion of unit otherwise we will not be able to solve the above question.
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