Posted by Brigette on Thursday, November 15, 2012 at 6:04pm.
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 N and find x when N equals 150.

Math  Anonymous, Thursday, November 15, 2012 at 6:17pm
This requires that you understand what a function is. The restaurant has a limit for how many people can be seated at one time, and we call this: N. The restaurant also has some number of tables that can seat 4 people and a certain number of tables that can seat 2 people (which we already know that there are 5).
Knowing this we can come up with an equation:
N(x) = 4x + 10
Where N(x) is the maximum number of people that can be seated. I use N(x) because the maximum number of people depend on how many tables can seat 4 people which is x. 4x refers to 4 people times x tables to provide the number of people that can be seated at tables with 4 chairs. 10 refers to what we already know about tables with 2 chairs. We know that 5 tables can seat 2 people each: 5 x 2 = 10.
Solving for x:
N = 4x + 10 (subtract 10 from each side)
N  10 = 4x (divide each side by 4)
N/4  10/4 = x
When N = 150
150/4  10/4 = x
x = 140/4 = 35

Math  Maseeha, Tuesday, November 12, 2013 at 6:27pm
2(3x2)\y=12
Answer This Question
Related Questions
 Math  A certain restaurant has exactly 19 tables. Some of these tables are ...
 Math  A restaurant can seat 100 people. It has booths that can seat 4 people ...
 math 116  The owners of River View Bakery have hired enough servers to handle ...
 math  Which strategies can be used to solve this problem? Kathleen invited 28 ...
 Statistics  Twenty people are to be seated at 3 Circular restaurant tables that...
 Math: Story Problem  A buffetstyle restaurant has 18 tables that seat 23 ...
 Math 1350  One rectangular table seats three people along each side and two ...
 math  A restaurant has tables that can seat either 4 or 7 persons. there are 12...
 Math  The school is having a big event in the gym and wants to use their ...
 maths  A restaurant has tables that can seat either 4 or 7 persons. there are ...
More Related Questions