Question

Two thirds of a number is no more than -10

Answer 1

Let x be the number in the problem. When it states that x is "no more than -10", it means than it is less than or equal to -10. So, we have

$\frac{2}{3}$x≤-10

In order to cancel out the $\frac{2}{3}$ on the left and isolate x, we multiply both sides by $\frac{3}{2}$ (since $\frac{3}{2}$·$\frac{2}{3}$=1). Thus, we have

x≤-10·$\frac{3}{2}$=-15

Therefore, x≤-15