Revelant?
Algebra
Level
2
Yesterday, there were 12.5% students in the class absent from school. Today, the students who are currently at school, are 6 times as many as the students absent from school. How many students are there in that class, if the answer is not greater than 100?
The answer is 56.
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1 solution
Since 1 2 . 5 % = 8 1 , the number of students must be divisible by 8 (because those 12.5% have to be a whole number).
Furthermore, the ratio of students at school to the absent students is 6 : 1 , so the total number has to be divisible by 7 as well.
The smallest number that satisfies these conditions is lcm ( 8 , 7 ) = 5 6 and the next such number is 112, which is too large.
Really nice problem!