5/12 of the pupils in a school are left-handed and the rest are right-handed. There are 276 more pupils who are right-handed than left-handed. What is the total number of pupils in the school?
Question
5/12 of the pupils in a school are left-handed and the rest are right-handed. There are 276 more pupils who are right-handed than left-handed. What is the total number of pupils in the school?
Solution
Sure, let's solve this step by step:
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Let's denote the total number of pupils as X. According to the problem, 5/12 of the pupils are left-handed, so the number of right-handed pupils is 1 - 5/12 = 7/12.
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The problem also states that there are 276 more right-handed pupils than left-handed ones. So, we can write this as: (7/12)X - (5/12)X = 276.
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Simplifying the equation, we get (2/12)X = 276, which simplifies further to (1/6)X = 276.
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To find X, we multiply both sides of the equation by 6, so X = 276 * 6 = 1656.
So, the total number of pupils in the school is 1656.
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