65% of the pupils at Caring Primary School wear spectacles.364 pupils do not wear spectacles.What is the total number of pupils at Caring Primary School?
Question
65% of the pupils at Caring Primary School wear spectacles. 364 pupils do not wear spectacles. What is the total number of pupils at Caring Primary School?
Solution
To solve this problem, we need to understand that the 364 pupils who do not wear spectacles represent 35% of the total number of pupils. This is because 100% (total pupils) - 65% (pupils who wear spectacles) = 35% (pupils who do not wear spectacles).
Step 1: Set up the equation Let's denote the total number of pupils as X. We know that 35% of X equals 364. We can write this as: 0.35X = 364
Step 2: Solve for X To solve for X, we need to divide both sides of the equation by 0.35: X = 364 / 0.35 X = 1040
So, the total number of pupils at Caring Primary School is 1040.
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