2020 AMC 8 Problem 3

Below is the video solution and professionally curated solution for Problem 3 of the 2020 AMC 8, from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 2020 AMC 8 solutions, or check the answer key.

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Concepts:arearate

Difficulty rating: 560

3.

Carrie has a rectangular garden that measures 66 feet by 88 feet. She plants the entire garden with strawberry plants. Carrie is able to plant 44 strawberry plants per square foot, and she harvests an average of 1010 strawberries per plant. How many strawberries can she expect to harvest?

560560

960960

11201120

19201920

38403840

Video solution:
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Written solution:

First, the size of the garden is 6ft8ft=48ft2.6\text{ft} \cdot 8\text{ft} = 48\text{ft}^2.

Next, since there are 44 plants per square foot, Carrie can plant 448=1924\cdot 48=192 plants total.

Finally, since there are 1010 strawberries per plant, Carrie can harvest 10192=192010\cdot 192=1920 strawberries total.

Thus, the correct answer is D.

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