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22 September, 00:47

At RSM summer camp 100 students had enough food for a 30-days stay. After 2 days 40 new students joined the camp. After that 2 weeks passed and half of the students left the camp. How many additional days of food need to be ordered?

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  1. 22 September, 01:50
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    "no additional days of food need to be ordered."

    Step-by-step explanation:

    Suppose initial quantity of food is x units

    Assuming each student eats 1 unit of food per day,

    x = 30 * 100 = 3000 units of food

    In 2 days, food eaten:

    100 * 1 * 2 = 200 units

    So food left after 2 days is 3000 - 200 = 2800 units

    Now, there are 140 students. They stay 2 weeks (14 days) - 2 = 12 more days

    So food eaten in 12 days:

    140 * 1 * 12 = 1680 units

    THus, after total 14 days gone, the amount of food left is:

    2800 - 1680 = 1120 units

    Half students left, so there are 70 students left for the last 16 days. How much food would they need?

    70 * 1 * 16 = 1120 units

    And there are exactly 1120 units left. So, no additional days of food need to be ordered.
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