Question

A bride and groom are planning for their wedding. They plan to rent a mixture of round tables and square tables for the reception. The cost for either table is $10. Round tables can seat 6 people and square tables can seat 8. They expect at least 260 guests to attend. Their budget permits them to spend at most $400 on table rental. Can they use 26 of one type and 14 of the other?

Answer 1

Explanation:

To determine if they can use 26 of one type and 14 of the other, we need to calculate the cost for each scenario and compare it to their budget of $400.

If they use 26 round tables, it would cost 26 * $10 = $260.

And if they use 14 square tables, it would cost 14 * $10 = $140.

The total cost would be $260 + $140 = $400, which is equal to their budget.

Now, we need to make sure that they can seat all the guests with the tables they plan to rent.

If they use 26 round tables, they can seat 26 * 6 = 156 guests.

And if they use 14 square tables, they can seat 14 * 8 = 112 guests.

The total number of guests they can seat would be 156 + 112 = 268.

since they expect at least 260 guests to attend and they can seat 268 guests, the table rental plan of 26 round tables and 14 square tables is feasible both financially and in terms of seating capacity.