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Lesson: Intermediate Problem Solving - 07t01

Estimation Practice

[Page 7 of 27]
Now, let's use our estimating skills to solve an in-format rate problem.

Select the correct answer and then click Continue.

Twenty rabbits consume 48 pounds of rabbit food over the course of one week. If 5 of the rabbits are removed, how many pounds of rabbit food would it take to feed the remaining rabbits for two weeks, assuming the same rate of consumption for each rabbit?

36
52
72
96
144


If 20 rabbits consume 48 pounds of rabbit food over the course of one week, then the same number of rabbits would consume twice this amount (48 + 48 = 96) over the course of two weeks. But we must also remember that we have 5 fewer rabbits eating the food over the course of two weeks. Five rabbits isn't a very significant decrease, especially when we consider that the amount of time is being doubled. Therefore, we can expect the food consumed to be more than the original amount (48 pounds) but not quite double the amount with all 20 rabbits (96 pounds).

Choice (A) is less than 48, so we can eliminate this choice. Choices (D) and (E) are equal to or larger than 96, so we may also eliminate these choices. Of the remaining choices, Choice (B) seems a little too close to 48, considering that only 5 rabbits are being removed and the time period is doubled.

So, by process of elimination, the most logical (and the correct) answer is Choice (C), 72.

To solve this problem without estimating, we would once again need to use a conventional approach.

Now let's learn about the other Strategic Guessing approach — answer choice elimination.

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