AMC 8 2020 Problem 3

AMC8 2020 年第 3 题

表达式与运算★☆☆☆☆

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?

Carrie 有一个矩形的花园，尺寸是 6 英尺ｘ8 英尺。她在整个花园里都种植了草莓。Carrie 每平方英尺种植 4 棵草莓苗，并且每棵草莓苗上她可以收获 10 颗草莓。那么她可以期望总共收获多少颗草莓？

A.560
B.960
C.1120
D.1920
E.3840

正确答案 · Correct Answer

解析 · Solution

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

\displaystyle \left(6 \ \color{red}\cancel{\mathrm{ft}}\color{black}\cdot8 \ \color{red}\cancel{\mathrm{ft}}\color{black}\right)\cdot\left(4 \ \frac{\color{green}\cancel{\mathrm{plants}}}{\color{red}\cancel{\mathrm{ft}^2}}\right)\cdot\left(10 \ \frac{\mathrm{strawberries}}{\color{green}\cancel{\mathrm{plant}}}\right)=6\cdot8\cdot4\cdot10 \ \mathrm{strawberries}=1920 \ \mathrm{strawberries}.

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