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Thread: I need help with this math word problem

  1. #1
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    I need help with this math word problem

    At a dinner, Joe orders three strips of bacon and a cup of coffee and is charged $2.25. Stella orders two strips of bacon and a cup of coffee and is charged $1.70. What is the price of two strips of bacon?
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    Re: I need help with this math word problem

    Quote Originally Posted by brandon01 View Post
    At a dinner, Joe orders three strips of bacon and a cup of coffee and is charged \$2.25. Stella orders two strips of bacon and a cup of coffee and is charged \$1.70. What is the price of two strips of bacon?
    escaped \$ signs for readability
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  3. #3
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    Re: I need help with this math word problem

    let $b$ be the cost of a strip of bacon, and

    $c$ be the cost of a cuppa

    $3b + c = 2.25$

    $2b + c = 1.70$

    can you solve for $b$ and $c$ ? (Hint: subtract eq2 from eq1)
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  4. #4
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    Re: I need help with this math word problem

    Actually, you don't need to "solve for b and c" because the question only asks "what is the price of two strips of bacon?"
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    Re: I need help with this math word problem

    the book i'm read says the answer is a $1 something i don't know why though
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    Re: I need help with this math word problem

    Quote Originally Posted by romsek View Post
    let $b$ be the cost of a strip of bacon, and

    $c$ be the cost of a cuppa

    $3b + c = 2.25$

    $2b + c = 1.70$
    subtract the 2nd equation from the first

    $b = 0.55$

    so 2 strips of bacon go for $2(0.55) = \$1.10$
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  7. #7
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    Re: I need help with this math word problem

    i don't understand 3b + c = 2.25 what do i do for that? is it 3b -2b gives you a $1 I don't know
    Last edited by brandon01; Feb 26th 2017 at 03:09 PM.
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    Re: I need help with this math word problem

    Quote Originally Posted by brandon01 View Post
    i don't understand 3b + c = 2.25 what do i do for that? is it 3b -2b gives you a $1 I don't know
    I think you need more help than this site is designed for.

    $3b+c = 2.25$ expresses that 3 pieces of bacon and a cup of coffee costs \$2.25

    likewise $2b+c=1.70$ expresses that 2 pieces of bacon and a cup of coffee costs \$1.70

    you can add and subtract equations to/from each other and still maintain them as equations

    if you subtract the second equation from the first you get

    $(3b-2b) + (c-c) = (2.25 - 1.70)$

    $b = 0.55$

    so the cost of 1 pieces of bacon is $0.55$

    2 pieces of bacon will cost twice this or $2 \times 0.55 = \$1.10$
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    Re: I need help with this math word problem

    Quote Originally Posted by brandon01 View Post
    i don't understand 3b + c = 2.25 what do i do for that?
    (cost of 3 pieces of bacon) + (cost of one cup of coffee) is (2 dollars and 25 cents)

    translate to an equation ...

    $3b + c = 2.25$

    do the same process for Stella's order ...

    $2b + c = 1.70$

    solve using the method of elimination (have you heard of this method before?) ...


    $\color{red}{3b} + \color{blue}{c} = \color{green}{2.25}$
    $\color{red}{2b} + \color{blue}{c} = \color{green}{1.70}$
    ---------------- subtract each term from the one above it

    $\color{red}{b} + \color{blue}{0} = \color{green}{0.55}$

    this equation says one piece of bacon costs 55 cents ... so, how much would two pieces cost?
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    Re: I need help with this math word problem

    My point before was that the only difference between the two orders, "three strips of bacon and a cup of coffee" and "two strips of bacon and a cup of coffee" is one strip of bacon. The difference in the two costs, $2.25- 1.70= $0.55, is that one strip of bacon. Two strips of bacon cost 2(0.55)= $1.10.
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    Re: I need help with this math word problem

    sorry everyone that i need a lot of math help, i'm not good at this math stuff, is their a book i can read, i'll read it
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    Re: I need help with this math word problem

    Quote Originally Posted by brandon01 View Post
    sorry everyone that i need a lot of math help, i'm not good at this math stuff, is their a book i can read, i'll read it
    there are lots of books. I'd hit a used book store and see if they have a book on algebra.

    There are also lots of online resources such as this one
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    Re: I need help with this math word problem

    thanks everyone
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