A problem by edil tizon

Level pending

There are 24 students in 7a class. During a youth brigade they planted 24 birches and roses totally. While each girl planted 3 roses, every three boys planted 1birch. How many birches were planted?


The answer is 6.

Edil Tizon by edil tizon , 23, Philippines

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2 solutions

Venture Hi
Feb 6, 2015

This is an ill question. It should be ' how many birch trees were planted?'

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Edil Tizon
Feb 5, 2015

Lets denote the number of planted roses by x. Therefore the number of birches is (24 – x) . If each girl planted 3 roses, then there are x/3 girls in the class, also there are 3 (24-x) boys in the class There are 24 students in the class totally. Therefore x/3 + 3(24 – x) = 24 => x + 9(24 – x) = 3 24 => x +216 – 9x = 72 => 216 – 72 = 8x => 144/8 = x => x = 18 So 18 roses and 24 – x = 24 - 18 = 6 birches are planted.

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