1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
elena-14-01-66 [18.8K]
3 years ago
5

The Country Buffet restaurant has tables that seat 6 people and booths that can seat 4 people. The restaurant has 38 seating uni

ts for seating a total of 188 people. Write a system of equations and use it to find the number of tables and the number of booths that are at the restaurant?
Define your variables for this system.
Mathematics
1 answer:
Alina [70]3 years ago
6 0

Answer:

There are 20 booths and (38 - 20), or 18, tables

Step-by-step explanation:

Represent the number of tables with t and the number of booths with b.

We need to find the values of t and b.

(6 people/table)(t) + (4 people/booth)b = 188           (units are "people")

t + b = 38                                                                      (units are "seating units")

Solving the second equation for t, we get 38 - b = t.

Substitute 38 - b for t in the first equation:

(6 people/table)(38 - b) + (4 people/booth)b = 188

Then solve for b:   6(38) - 6b + 4b = 188, or:

228 - 2b = 188, or 2b = 228 - 188, or 2b = 40.  Thus, b = 20   (booths)

There are 20 booths and (38 - 20), or 18, tables.

You might be interested in
What is the expanded form of x(x+6)
tankabanditka [31]
X(x+6) = x*x+6*x = x^2+6x
5 0
3 years ago
Read 2 more answers
Which fractions are equivalent to 8/20 ?
Nadusha1986 [10]

Answer:

2/5. 4/10. 6/15. 8/20. 10/25. 12/30

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Y intercept of y=2x-3
3241004551 [841]
Since the equation is in y = mx+b form you can easily determine the y intercept based on the b value present.

Y = mx + b
Y = 2x - 3
B = y intercept = (0,-3).
7 0
3 years ago
Simplify the monomial (Please show work)<br><br> (2ab^2)(4a^2b^3) - (10a^3b)(6b^4)
Lelechka [254]
The answer should be −52a^3 b^5

7 0
3 years ago
Lacy wants to paint her bedroom walls she has to cover 1,162.5 ft.² about how many gallons of paint will she need
Lunna [17]
I don't know how far the gallon of paint goes on the walls. So I would figure out how far the gallon of paint goes then divide it by 1,162.5 ft.2







7 0
3 years ago
Other questions:
  • If y varies inversely with x and y = 8...<br><br> the question is in the picture
    14·1 answer
  • A family budgets 1/2 of its income for housing and 1/3 for food. What fraction of their budget do these expenses cover?
    13·1 answer
  • I need help with this please help the last one is 20 for 4.20
    5·1 answer
  • In constructing a confidence interval estimate for the difference between two population proportions, we:a. pool the population
    8·1 answer
  • An 8.5 centimeter green bean pod contains peas that average 0.45 centimeter in diameter. How many peas are in the pod?
    12·2 answers
  • What is the least common multiple of six and four
    6·2 answers
  • Which decimal is less than 0.8 and greater than 0.02?
    5·1 answer
  • At a baseball game, the stadium gave T-shirts to the first 100 fans to arrive. Each T-shirt cost $15.00. How much did the stadiu
    5·1 answer
  • A line that includes the point (-5, -7) has a slope of -1/5 what is its equation in
    11·1 answer
  • 6th grade math help me pleaseeee
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!