In a certain mixed-gender school, the number of boys exceeds the number of girls. After 3 boys depart and 4 girls join the school, the number of boys still outnumbers the girls. What is the minimum number of boys that could have been initially enrolled in the school, given that there was at least one girl to start with?

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Official Explanation

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To solve this, we can use the information from the second sentence. After 3 boys leave and 4 girls are added, the number of boys still exceeds the number of girls. This gives us…

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Comments

RohitFeb 21, 2025

Love how you solved this

SaiSep 16, 2024

Can someone explain it other way?

What this question tests

What it tests

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

Common trap

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