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Math Help - Algebra word problem...Need help if you have spare time.

  1. #1
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    Algebra word problem...Need help if you have spare time.

    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.

    1.1. Write a system of equations to illustrate the situation. Use x for the two-seat tables and y for the four-seat tables. 2.2. Use the system of equations from number 1 and solve using the substitution method to determine how many of each type of table should be purchased. Explain or show work for all steps used to solve the problem. 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 min

    For these two items the owners have allotted 800 minutes of preparation time and 900 minutes of baking time. 3.3. Write a system of equations to illustrate the situation. Use x for the number of batches of cookies and y for the loaves of bread. 4. Use the system of equations from number 3 and solve using the elimination method to determine how many batches of cookies and how many loaves of bread will be baked. Explain or show work for all steps used to solve the problem.

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  2. #2
    MHF Contributor

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    Re: Algebra word problem...Need help if you have spare time.

    You seem to have forgotten something- your attempt at the problem. Don't expect people to just hand you answers. Show your work and will offer suggestions and hints.
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  3. #3
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    Re: Algebra word problem...Need help if you have spare time.

    I do remember saying "help" meaning all is appreciated.
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  4. #4
    Newbie radh's Avatar
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    Re: Algebra word problem...Need help if you have spare time.

    To make a system of equations, you have to minimize the word problem into a mathematical term. It's really simple once you get the right mindset to do it. First, you look at the important information:
    We know that the total tables has to equal 17.
    At the same time we know that the tables must seat 56 people.

    In math terms, it would simply look like:
    x+y=17
    2x+4y=56

    If you need help with substitution, you can check out this website: SYSTEMS OF EQUATIONS in TWO VARIABLES (it also covers the other examples of systems of equations). I just don't have the time to map that out for you.

    For your second problem, you're trying to find out how many cookies/bread the bakery has made. We repeat the same process of finding information and toning it down. It leads up to:

    20x + 10y = 800 (preparation time)
    10x + 307 = 900 (baking time)

    For help with elimination (we were allowed to use whatever method we wanted in Algebra, so I never understood elimination), that site has an elimination example.

    The trick is to take out all of the unnecessary information and focus on the math. You'll get better at it with more practice. Good luck!
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