Question
If 33.5% of a number is 11.75, then what is the
number?Solution
Let the number be x. 33.5% of x = 11.75 33.5% = 33.5/100 = 0.335 So, 0.335x = 11.75 x = 11.75 ÷ 0.335 x = 11.75 × (1000 ÷ 335 × 1/1000) (or directly multiply numerator and denominator by 1000) x = 11750 ÷ 335 Simplify: 11750 ÷ 335 = 2350 ÷ 67 So, x = 2350/67 ≈ 35.07
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