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19 June, 17:07

One vegetable warehouse had 210 tons of potatoes, another one has 180 tons. 90 tons of potatoes were delivered to the first and 120 tons to the second warehouse every day. In how many days will the first warehouse have 1.2 times less potatoes than the second warehouse

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  1. 19 June, 17:10
    0
    Step-by-step explanation:

    Warehouse 1:

    Mass of potatoes = 210 tons

    Day 1

    90x + 210 tons

    Warehouse 2:

    Mass of potatoes = 120 tons

    Day 1

    120x + 210 tons

    Where x is the number of days

    180 + 120x = 1.2 (210 + 90n)

    180 + 120x = 252 + 108x

    120x - 108x = 252 - 180

    12x = 72

    x = 6.
  2. 19 June, 17:24
    0
    6days

    Step-by-step explanation

    Let's make an equation from this expression.

    From the number of potatoes at the first warehouse after x days is:

    y = 210 + 90x ... 1

    From the number of potatoes at the second warehouse after x days is:

    y = 180 + 120x ... 2

    First warehouse having 1.2times

    y = (210 + 90x) * 1.2

    y = 252 + 108x ... 3

    Now, equate 2 and 3

    252 + 108x = 180 + 120x

    252 - 180 = 120x - 108x

    72 = 12x

    x = 72/12

    x = 6

    Now, substitute 6 into equation 1 and 2

    From 1, y = 210 + 90x

    y = 210 + 90 * 6

    y = 210 + 540

    y = 750

    From equation 2

    y = 180 + 120x

    y = 180 + 120*6

    y = 180 + 720

    y = 900

    Recall that equation 1 was to be 1.2times

    From the answer in equation 1

    y = 750

    y = 750 * 1.2

    y = 900

    Hence, the answer is correct.
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