Question

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?

Answer 1

$\text{Let, the number which Anita}\text{initially thought of be x.}$

$\text{She subtracts}\frac{3}{2}\text{from x and then}\text{multiplies it by 8.}$
$\Rightarrow (x–\frac{3}{2})\times 8$ [1 mark]

$\text{According to the question,}(x–\frac{3}{2})\times 8=5\times x8x–12=5x8x–5x=123x=12x=\frac{12}{3}x=4$ [2 mark]

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