Discussion
Kanta has five dozen chocolates. She gives \(\frac{1}{6}\) of these to Aruna and \(\frac{1}{5}\) of the remaining chocolates to Radha. She then gives \(\frac{1}{8}\) of the remaining chocolates to each of her other three friends. How many chocolates does Kanta have now?
Answer: C
Kanta has 25 chocolates left.
Five dozen is 60 chocolates. Work through each gift in turn:
\[ \begin{aligned} \text{to Aruna} &= \tfrac{1}{6} \times 60 = 10 \\ \text{left} &= 60 - 10 = 50 \\ \text{to Radha} &= \tfrac{1}{5} \times 50 = 10 \\ \text{left} &= 50 - 10 = 40 \end{aligned} \]
Each of the three friends gets \(\frac{1}{8}\) of the remaining 40, that is 5 each, all taken from the same 40:
\[ \begin{aligned} 3 \times 5 &= 15 \\ 40 - 15 &= 25 \end{aligned} \]
15 is the number given to the three friends, not the number Kanta keeps, and 20 and 10 do not follow from any correct reading of the three steps.
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