Rasheed bought two kinds of candy bars, chocolate and toffee, that came in packages of 2 bars each. He handed out \frac{2}{3} of the chocola

Question

Rasheed bought two kinds of candy bars, chocolate and toffee, that came in packages of 2 bars each. He handed out \frac{2}{3} of the chocolate bars and \frac{3}{5} of the toffee bars. How many packages of chocolate bars did Rasheed buy?

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Evelyn 6 days 2021-09-11T09:48:16+00:00 2 Answers 0

Answers ( )

    0
    2021-09-11T09:49:55+00:00

    Answer:

    Rasheed bought 9 packages of chocolate bars

    Step by step explanation:

    Let x represent the number of packages of chocolate bars

    and y represent the number of packages of toffee bars.

    Rasheed handed out 2/3 × 2x of the chocolate bars

    and

    3/5 × 2y of the toffee bars.

    Rasheed bought 1 fewer package of chocolate bars than toffee bars

    => x = y – 1 ………………………(1)

    Rasheed handed out the same number of each kind of candy bar

    =>2/3 × 2x = 3/5 × 2y

    4x/3 = 6y/5

    x = (3/4)(6y/5) = 9y/10……………….(2)

    Using the value of x in (2) in (1)

    9y/10 = y – 1

    (1 – 9/10)y = 1

    (1/10)y = 1

    y = 10

    Therefore, y is 10 and x is 9

    0
    2021-09-11T09:50:11+00:00

    Answer:

    Rasheed bought 9 packages of chocolate bars

    Step-by-step explanation:

    Rasheed bought two kinds of candy bars, chocolate and toffee, that came in packages of 2 bars each.

    Let ‘cb’ represent the number of chocolate bars that Rasheed bought

    Let ‘tb’ represent the number of toffee bars that Rasheed bought

    If Rasheed bought 1 fewer package of chocolate bars than toffee bars; we have the following suitable expression

    cb = tb – 1

    Also; he handed out \frac{2}{3} of the cb and \frac{3}{5} of tb; we have:

    \frac{2}{3} *cb = \frac{3}{5}*tb

    10cb =  9tb

    If we make tb the subject of the formula since we are only looking for the number of chocolate bars Rasheed bought; we have:

    tb=\frac{10}{9} cb

    From the previous expression cb = tb – 1

    1 = tb – cb

    Replacing tb=\frac{10}{9} cb in the above equation; we have:

    1= \frac{10cb}{9} -\frac{cb }{1}

    1 = \frac{1cb-9cb}{9}

    1 = \frac{1cb}{9}

    cb = 1*9

    cb = 9

    Hence,Rasheed bought 9 packages of chocolate bars

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