Jambmaths question:
Three teacher shared a packet of chalk. The first teacher got $\frac{2}{5}$of the chalk and the second teacher received $\frac{2}{15}$of the remainder. What fraction did the third teacher received ?
Option A:
$\frac{8}{15}$
Option B:
$\frac{11}{25}$
Option C:
$\frac{12}{25}$
Option D:
$\frac{13}{25}$
Jamb Maths Solution:
Let the total number of chalks be x
1st teacher got $\frac{2}{5}$of x
The remainder of the chalk is $x-\frac{2x}{5}=\frac{3x}{5}$
The 2nd teacher got $\frac{2}{15}\text{of }\frac{3x}{5}which\text{ is }\frac{2x}{25}$
The third teacher got $\frac{3x}{5}-\frac{2x}{25}=\frac{13x}{25}$
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