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?

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.