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Question

Sam needs 5 oranges to fill a jar of orange juice. If he has 1,069 oranges, then how many jars of orange juice can he fill?


A
232
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B
214
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C
265
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D
243
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Solution

The correct option is B 214
Total number of oranges = 1,069
Number of oranges required for filling a jar of orange juice = 5

To determine the number of jars to be filled with the orange juice, we have to calculate 1069 ÷ 5 and find the remainder.

Let us solve this through partial quotient method.

First, we write the values inside the long division bracket.


Now, we find an easier multiple of the divisor 5, which is closer to the dividend 1069.


We subtract the multiple 1,000 from the dividend 1,069 and write the partial quotients in the right column.


Let's keep repeating the process until the dividend is reduced to zero or the remainder is less than the divisor.


Now, we add all the partial quotients.

∴ Final quotient = 200 + 10 + 3 = 213
Remainder = 4

Now, 4 oranges are left.
To keep its juice, we need 1 more jar.


Hence, Sam needs 213 + 1 = 214 jars to keep the orange juice.

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