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27 January, 22:21

A jewelry store sells charm sets that each contain three heart charms and c character charms. After buying several of these sets as gifts from the store, Mrs. Thompson had a total of 20 charms. Which expression represents the number of charm sets Mrs. Thompson bought?

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  1. 27 January, 23:16
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    The expression to find the number of charm sets Mrs. Thomson bought is written as 20 : (3+c).

    Step-by-step explanation:

    It is given that, the jewelry store sells two types of charms which includes the heart charm and the character charm.

    The number of heart charms in one charm set = 3 heart charms. The number of character charms in one charm set = c character charms.

    Therefore, the number of both heart & character charms in a set = (3+c) charms.

    After buying several of these sets from the jewelry store,

    The total number of charms Mrs. Thompson had = 20 charms.

    To find the number of charm sets she bought:

    The expression can be formed as the total number of charms Mrs. Thomson had divided by the total number of charms in one charm set.

    ⇒ 20 = the total number of charms Mrs. Thomson had.

    ⇒ (3+c) = the number of charms in a charm set.

    The expression to find the number of charm sets Mrs. Thomson bought is written as 20 : (3+c).

    For example, if the no. of character charm in the set is c = 1. Then the total number of charms in a set ⇒ (3+c) = 3+1 = 4.

    The number of charm sets she bought can be calculated using the above expression.

    ⇒ 20 : 4

    ⇒ 5 charm sets.

    If c=1, then Mrs. Thomson bought 5 charms sets and she will have 20 charms with her.
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