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16 February, 05:37

Each morning a deli worker has to make several pies and peel a bucket of potatoes. on Monday it took the worker 2 h to make the pies and an average of 1.5 min to peel each potato. on Tuesday the worker finished the work in the amount of time but it took 2.5 h to make the pies and an average of 1 min to peel each potato. about how many potatoes are in a bucket?

• what qualities do you know and how are they related to each other?

• how can you use the known and unknown quantities to write an equation for this situation?

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  1. 16 February, 05:58
    0
    Let the number of Potatoes = P

    On Monday the time spent was 2 hours + 1.5*P minutes

    Convert the time to make the pies into minutes = 120 minutres

    Therefore on Monday the worker took

    120 + 1.5P minutes

    On Tuesday the worker took 2.5 hours (150 minutes) + 1minute x P

    ie

    150 + P minutes

    We are told that the times are the same therefore

    120 + 1.5P = 150 + P

    subtract P from both sides of the equation

    120 + 0.5P = 150

    Subtract 120 from both sides of the equation

    0.5P = 30

    Therefore P = 30/0.5 = 60

    There are 60 potatoes in the bucket.
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