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1 January, 07:09

Alex wants to buy the same number of stamps and envelops. Stamps are sold in packs of 14 and envelops are sold in the packs of 10.

What is the least number of each he could buy to have the same number of stamps and envelops?

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  1. 1 January, 07:11
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    5 numbers of stamp packs and 7 number of envelop packs that Alex has to buy.

    Step-by-step explanation:

    Alex wants to buy the same number of stamps and envelops.

    Stamps are sold in packs of 14 and envelop are sold in the packs of 10.

    Now, we have to find the least number of stamp packs and envelop packs that Alex should buy to get an equal number of stamps and envelops.

    The least common multiple of 14 and 10 will give the result.

    14 has multiples 14, 28, 42, 56, 70, ...

    And 10 has multiples 10, 20, 30, 40, 50, 60, 70, ...

    Therefore, 70 is the least common multiple.

    In that case 5 numbers of stamp packs and 7 number of envelop packs that Alex has to buy to get 70 stamps and 70 envelop. (Answer)
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