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13 November, 14:56

The manager of a small supermarket placed an order for potatoes, onions and carrots totaling $880. For every 9 pounds of potatoes he ordered 4 pounds of onions and for every 5 pounds of onions he ordered 3 pounds of carrots. The total weight of the order was 770 pounds. If it is know that the cost of the onions is $1.25 per pound and the per pound cost of carrots is 50 cents more than that of potatoes, find the total cost of 5 pounds of potatoes, 2 pounds of onions and a pound of carrots.

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  1. 13 November, 14:58
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    Answer: $9

    Step-by-step explanation:

    Step 1: calculation of weight of the potatoes, onions and carrots.

    According to the question,

    Ratio of weight of potatoes and onions = 9:5

    And the ratio of weight of onions and carrots = 5:3

    So,

    The ratio of weight of potatoes, onions and carrots = 45:20:12

    The weight of potatoes, onions and carrots = 45x, 20x, and 12x

    Total weight of the order = 770

    45x + 20x + 12x = 770

    77x = 770

    x = 10

    Therefore, the weight of potatoes, onions and carrots are 450 pounds, 200 pounds, and 120 pounds respectively.

    Step 2: Calculation of cost per pound of potatoes and carrots.

    Suppose, cost per pound of potatoes = y

    So, cost per pound of carrots = y + 0.50

    Now,

    Total cost of order = $880

    450y + 1.25*200 + (y + 0.50) * 120 = 880

    450y + 250 + 120y + 60 = 880

    570y = 880 - 310

    570y = 570

    y = 1

    Therefore, the cost per pound of potatoes = $1

    And the cost per pound of carrots = $1.50

    Step 3: To find the total cost of 5 pounds of potatoes, 2 pounds of onions and a pound of carrots.

    Total cost = 5*1 + 2*1.25 + 1*1.50

    Total cost = $9
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