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Tom's parrot eats only sunflower seeds and peanuts. Last week, the parrot ate either 3 sunflower seeds or 5 peanuts each day. If it ate exactly 20 peanuts last week, how many sunflower seeds did it eat for the rest of the days last week?

a. 6

b. 9

c. 12

d. 15

Answer :

To solve this problem, we need to determine how many days the parrot ate sunflower seeds last week. We'll start by understanding the conditions given:

  • Last week, the parrot ate either 3 sunflower seeds or 5 peanuts each day.
  • The parrot ate exactly 20 peanuts last week.

Let's break down the solution step-by-step:

  1. Calculate the Number of Days the Parrot Ate Peanuts:

    The parrot ate 5 peanuts in a day.

    If the parrot ate 20 peanuts in total, we can find out how many days it ate peanuts by dividing:

    [tex]\text{Number of days eating peanuts} = \frac{20 \text{ peanuts}}{5 \text{ peanuts per day}} = 4 \text{ days}[/tex]

    So, the parrot ate peanuts for 4 days last week.

  2. Determine the Total Number of Days in a Week:

    There are 7 days in a week.

  3. Calculate the Number of Days the Parrot Ate Sunflower Seeds:

    The rest of the days are when the parrot ate sunflower seeds. Therefore:

    [tex]\text{Number of days eating sunflower seeds} = 7 \text{ days} - 4 \text{ days} = 3 \text{ days}[/tex]

  4. Calculate the Total Sunflower Seeds Eaten:

    The parrot eats 3 sunflower seeds per day. Thus, over the remaining 3 days:

    [tex]\text{Total sunflower seeds} = 3 \text{ seeds per day} \times 3 \text{ days} = 9 \text{ sunflower seeds}[/tex]

So, the answer is that the parrot ate 9 sunflower seeds for the rest of the days last week. The correct choice is b. 9.

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Rewritten by : Barada