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Problem 648

AMC 10/12, early questions

Algebra Difficulty 3.8 Find the answer Macedonian Mathematical Competitions · North Macedonia

In a school there are $32$ classes. Six of them have $29$ students each, eight of them have $30$ students each, two of them have $31$ students each and the rest have $32$ students each. How many students are there in the school?

Your answer

A number or a short expression. Fractions can be typed as 3/2, and spacing doesn't matter.

Official solution

The number of classes with $32$ students each is $32 - 6 - 8 - 2 = 16$ .

The total number of students is $6 \cdot 29 + 8 \cdot 30 + 2 \cdot 31 + 16 \cdot 32 = 174 + 240 + 62 + 512 = 988$ .

Source: MathNet, licensed CC-BY-4.0. Statement reproduced verbatim; metadata (topic, difficulty, ordering) added by this project.