2021 AMC 10A Spring Problem 2

Question

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

Let Lara’s enrollment be one part

Portia has three of the four equal parts of the total

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.

Problem 2 in other years