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Translate the following word problems into algebraic equations: You buy three cans of coke and pay with R10, receiving R2.20 change. Four adults cost R148. Eight metres of material cost R116. R550 is

Mathematics

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Here are the equations for each situation:

2.

  1. Identify the knowns and unknowns.

    The cost of one can of coke is RxR x.
    You buy three cans, so the total cost of coke is 3x3x.
    You pay with R10R10 and receive R2.20R 2.20 change.

  2. Formulate the equation.

    The amount paid minus the total cost of the items equals the change received.

    10−3x=2.2010 - 3x = 2.20

    The equation is 10−3x=2.20\boxed{10 - 3x = 2.20}.

    3.

  3. Identify the knowns and unknowns.

    The cost for four adults is R148R148.
    Let yy be the cost for one adult.

  4. Formulate the equation.

    The cost for four adults is 4 times the cost for one adult.

    4y=1484y = 148

    The equation is 4y=148\boxed{4y = 148}.

    4.

  5. Identify the knowns and unknowns.

    The cost of one metre of material is RxR x.
    You want to find the cost of 8 metres, which is 8x8x.
    It is given that 8 metres cost R116R116.

  6. Formulate the equation.

    The total cost of 8 metres is equal to R116R116.

    8x=1168x = 116

    The equation is 8x=116\boxed{8x = 116}.

    5.

  7. Identify the knowns and unknowns.

    Let kk be the exchange rate, representing how many Malawian Kwacha you get for one Rand.
    If you have R550R550, you get 1155011 550 Kwacha.

  8. Formulate the equation.

    The total Kwacha received is the amount of Rand multiplied by the exchange rate.

    550k=11550550k = 11550

    The equation is 550k=11550\boxed{550k = 11550}.

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