In a school, there are 1800 students divided into three distinct groups. The number of students in the first group is such that half of it, one-third of the second group, and one-fourth of the third group are all equal. Determine how many students are in each group.

Correct answer marked below

400, 600, 800

Correct

800, 450, 550

900, 450, 450

400, 700, 700

None of these

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Official Explanation

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Let the number of students in the groups be represented as x, y, and z. According to the information provided: x + y + z = 1800 and we have the…

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AshMar 2, 2024

thank you for sharing

What this question tests

Your ability to convert between fractions, ratios, and decimals and to reason proportionally.

Cross-multiplying incorrectly or mixing up the ratio parts — a part:part ratio is not a fraction of the whole.