2020 AMC 8 Problem 3

Attempt Problem 3 of the 2020 AMC 8 below, then check your answer against the video solution and professionally curated solution 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.

All problems are used with official legal permission of the Mathematical Association of America (MAA).

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
Answer: D
Concepts:arearate
Small hint:
First find the garden area
Big hint:
Multiply area by plants per square foot, then by strawberries per plant
Video solution:
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Written solution:
First, the size of the garden is 6⋅8=486\cdot8=48 square feet.
Next, since there are 44 plants per square foot, Carrie can plant 4⋅48=1924\cdot 48=192 plants total.
Finally, since there are 1010 strawberries per plant, Carrie can harvest 10⋅192=192010\cdot 192=1920 strawberries total.
Thus, the correct answer is D.
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