2021 AMC 10A Spring 第 2 题

Question

Portia 的高中学生数是 Lara 的高中的

3

倍。两所高中一共有

2600

名学生。Portia 的高中有多少名学生？

Portia’s high school has

3

times as many students as Lara’s high school. The two high schools have a total of

2600

students. How many students does Portia’s high school have?

600

650

1950

2000

2050

把 Lara 学校的人数看作一份。

Let Lara’s enrollment be one part

Portia 学校占总人数四份中的三份。

Portia has three of the four equal parts of the total

设 Lara 的学校有

x

名学生，则 Portia 的学校有

3x

名学生。

因此

\begin{aligned} 3x + x &= 2600 \\ x &= 650 \end{aligned}\text{。}

所以

3x = 1950

。

所以正确答案是 C。

Let

x

be the number of students in Lara’s high school. Then Portia’s high school has

3x

students.

Therefore,

\begin{aligned} 3x + x &= 2600 \\ x &= 650. \end{aligned}

Then

3x = 1950.

Thus, C is the correct answer.

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