Answer: 15 tables.
Explanation:
To show the ratio of centerpieces to tables using counters, we can use 1 blue counter to represent 1 centerpiece and 5 yellow counters to represent 5 tables. The ratio of centerpieces to tables can then be represented as 1:5, or 1/5.
To find the number of tables if there are 3 centerpieces, we can set up the following proportion:
3 centerpieces / 1 centerpiece = X tables / 5 tables
Cross-multiplying this proportion gives us:
3 * 5 tables = 1 centerpiece * X tables
Solving for X gives us the number of tables:
X = 15 tables
Therefore, if there are 3 centerpieces, there are 15 tables.