The ratio to chairs to tables in the restaurant is 12 to 7. If there are 84 chairs, how many tables are in the restaurant

Step-by-step explanation:

Given that,

The ratio of chair to table is 12:7

C:T=12:7

Total ratio = 12+7 =19

Chair ratio =12

Table ratio =7

If there are 84chairs

Then,

Number of chairs=chair ratio / total ratio × total number of chair and table.

Let total number of chair and table be y

84=12/19 × y

84=12y/19

84×19=12y

y=84×19/12

y=133 chairs and tables

Chairs + table = total chair and table

84+table=133

Table=133-84

Table =49

Therefore there are 49 tables

Alternatively,

Number of table=table ratio / total ratio × total number of chair and table.

Table=7/19 × 133

Table=931/19

Table=49

So there are 49 tables in the restaurant