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18 December, 16:38

Last year, Bob's Market ordered 15 1/2 pounds of plums from a local orchard. This year, the market plans to order 1 1/4 times as many pounds of plums as were ordered last year. They want 2/5 of this order to be red plums. What is the total amount, in pounds, of red plums the market plans to order this year?

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  1. 18 December, 17:03
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    The total amount, of red plums the market plans to order this year is 7.75 pounds

    Step-by-step explanation:

    * Lets change the story problem to numbers

    - The market ordered 15 1/2 pounds of plums last year

    # The amount of the plums last year is 15 1/2 pounds

    * Change the mixed number 15 1/2 to improper fraction

    15 1/2 ⇒ 15 * 2 + 1 = 31/2

    - The market plans to order 1 1/4 times as many pounds of

    plums as were ordered last year this year

    # The amount of the plums this year = 1 1/4 * 31/2

    * Change the mixed number 1 1/4 to improper fraction

    1 1/4 ⇒ 1 * 4 + 1 = 5/4

    ∴ The amount of the plums this year = 5/4 * 31/2 = 155/8 pounds

    # The amount of red plums is 2/5 of the order this year

    ∴ The red plums = 2/5 * 155/8 = 31/4 = 7 3/4 pounds

    * The total amount, of red plums the market plans to order

    this year is 7 3/4 pounds or 7.75 pounds
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