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2021 AMC 10A Problem 2

Problem 2 of 25EasierAlgebraArithmetic

Portia’s high school has 33 times as many students as Lara’s high school. The two high schools have a total of 26002600 students. How many students does Portia’s high school have?

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Solution

Let xx be the number of students in Lara’s high school. Then Portia’s high school has 3x3x students. Therefore, 3x+x=2600x=650. \begin{aligned} 3x + x &= 2600 \\ x &= 650. \end{aligned} Then 3x=1950.3x = 1950. Thus, C is the correct answer.
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