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Math Help - Maths Scholarship help

  1. #1
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    Maths Scholarship help

    Hello i am studying for a scholarship which I am due to take in 1 week. I am doing a few practice papers and I was wondering if anyone could work out the answer to this question


    The Best Bakery sells triangular cakes at 39p and square buns 23p each. For her party, Helen
    buys a total of 40 of these cakes and buns and spends 13.52.
    How many of each did she buy?




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  2. #2
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    Re: Maths Scholarship help

    Hello, gazing600000!

    \text{The Best Bakery sells triangular cakes at }39\cent\text{ and square buns at }23\cent\text{ each.}
    \text{For her party, Helen  buys a total of 40 of these cakes and buns and spends \$13.52.}
    \text{How many of each did she buy?}

    Let C = number of cakes.
    . . At 39\cent each, they cost 39C cents.
    Let B = number of buns.
    . . At 23\cent each, they cost 23B cents.

    The total cost is \$13.52 \,=\,1352\cent.
    . . 39C + 23B \:=\:1352

    The total number bought is 40:
    . . C + B \:=\:40

    Solve the system of equations: . \begin{Bmatrix}39C + 23B &=& 1352 \\ C + B &=& 40 \end{Bmatrix}
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