Anita thinks of a number and subtracts $\frac{3}{2}$ from it. She multiplies the result by 8. The result now obtained is 5 times the same number she thought of. What is the number she thought of ?

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Solution

The correct option is A
4

$Let, the number which Anita initially thought of be x.$

$She subtracts \frac{3}{2} from x and then multiplies it by 8.$
$\Rightarrow (x - \frac{3}{2}) \times 8$

$According to the question, (x - \frac{3}{2}) \times 8 = 5 \times x 8 x - 12 = 5 x 8 x - 5 x = 12 3 x = 12 x = \frac{12}{3} x = 4$

Thus, the number that Anita initially thought of is 4.

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