2020 AMC 8

Complete problem set with solutions and individual problem pages

Problem 3 Easy

Carrie has a rectangular garden that measures 6 feet by 8 feet. She plants the entire garden with strawberry plants. Carrie is able to plant 4 strawberry plants per square foot, and she harvests an average of 10 strawberries per plant. How many strawberries can she expect to harvest?

  • A.

    560

  • B.

    960

  • C.

    1120

  • D.

    1920

  • E.

    3840

Answer:D

Solution 1

Note that the unit of the answer is strawberries, which is the product of

- square feet

- plants per square foot

- strawberries per plant

By conversion factors, we have

6 \cdot8\cdot4\cdot10 \text{strawberries}=\boxed{\textbf{(D) }1920} \ \text{strawberries}.

 

Solution 2

The area of the garden is 6 \cdot 8 = 48 square feet. Since Carrie plants 4 strawberry plants per square foot, there are a total of 48 \cdot 4=192 strawberry plants, each of which produces 10 strawberries on average. Accordingly, she can expect to harvest 192 \cdot 10 = \boxed{\textbf{(D) }1920} strawberries.

Related Problems
Problem 1 2020 AMC 8
Problem 2 2020 AMC 8
Problem 4 2020 AMC 8
Problem 5 2020 AMC 8
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