# math 116

posted by .

The owners of River View Bakery have hired enough servers to handle 17 tables of customers, and the fire marshal has approved the restaurant for a limit of 56 customers. The owners need to purchase two-seat and four-seat tables to accommodate the customers.

1. Write a system of equations to illustrate the situation. Use x for the two-seat tables and y for the four-seat tables.

• math 116 -

x = 2-seat tables
y = 4-seat tables

2x + 4y = 56 (max)
x + y = 17

Solve for x and y that allows the maximum number of customers
2x + 2y = 34
2y = 22
y = 11
x = 6

• math 116 -

X=6

Y=11

## Similar Questions

1. ### mat 116

The River View Bakery is making peanut butter cookies and loaves of quick bread. The preparation and baking times for each are given in the table below. Cookies (per batch) Bread (per loaf) Preparation 20 min 10 min Baking 10 min 30 …
2. ### Math

The library at Miller Elementary School has an odd number of tables. Some tables will seat 4 students and some tables that will seat 6 students. A total of 32 students can sit at the tables with no empty seats. What is the number of …
3. ### Math

A restaurant has x number of tables that seat four people and 5 tables which seat two people. The restaurant can seat N number of people. Write a linear equation for N, number of people, in terms of x. Then, solve for x in terms of …
4. ### statistics

In a certain city, a fast food chain feels it is giving a bad reputation because it takes too long to serve the customer. Since the chain had four restaurants in this town, it is concerned with whether all restaurants have the same …
5. ### ECO 204

Letâ€™s assume that you own a fast food restaurant and you are faced with many customers each day eating in the restaurant without any tables. Describe the difference between the short run and long run in the example to bringing about …
6. ### 3rd grade math

Mr. king,ms. Lee,and mr. Patel own pizza shop together. They estimatedd the number of customers over the past 10years. Mr.King estimated they served 15,000 customers. Ms.Lee estimated 15,500 customers. Mr.Patel estimated 20,000 customers. …
7. ### Math

A restaurant can seat 100 people. It has booths that can seat 4 people and tables that can seat 6 people. So far, 5 of the booths are full. What expression matches the situation?
8. ### Math

A certain restaurant has exactly 19 tables. Some of these tables are larger tables that can seat 6 people and the others are smaller tables that can seat just 4 people. If a total of 90 people can be seated at this restaurant, how …
9. ### Math

You are planning a dinner for 174 people. The tables at the restaurant are large enough to seat 4 people at each one. How many tables will need to be reserved?
10. ### Social studies

#1 which of these is an example of capital resource A) works B)iron ore C)entrepreneur D)computers #2 how does scarcity affect customers A) limited money forces consumers to make choices B) limited time prevent customers from making …

More Similar Questions