Mary has some chocolates. If she shares them equally among 4 friends or 5 friends, there are always two extra chocolates left. What is the possible number of chocolates Mary could have?

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21-09-2015
Math

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Mary has some chocolates. If she shares them equally among 4 friends or 5 friends, there are always two extra chocolates left. What is the possible number of chocolates Mary could have?

Sagot :

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Shinalcantaraidn Shinalcantaraidn · Answer 1 · 2015-09-21T19:50:47+08:00

Since you are told that the chocolates can be shared with 4 or 5 friends and will have two extra left, then we can say that the possible number of chocolates is a factor of 4 and 5 plus two being the extra.

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In this case, we will find the least common multiple of 4 and 5 to get a number.

4 - 4, 8, 12, 16, 20, 24, 28, 32, 36, 40

5 - 5, 10, 15, 20, 25, 30, 35, 40, 45, 50

the least common multiple as we can see is 20.

since there will be two chocolates left then we say that the possible number of chocolates is 20 + 2 = 22

Sagot :

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