Question

Raj eats 1/11 of a pound of grapes in 1/25 of a minute. How many minutes will it take him to eat a full pound of grapes?

Answer 1

`\bf \begin{array}{ccll} \stackrel{lbs}{grapes}&minutes\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ (1)/(11)&(1)/(25)\\\\ 1&m \end{array}\implies \cfrac{(1)/(11)}{1}=\cfrac{(1)/(25)}{m}\implies \cfrac{(1)/(11)}{(1)/(1)}=\cfrac{(1)/(25)}{(m)/(1)} \\\\\\ \cfrac{1}{11}\cdot \cfrac{1}{1}=\cfrac{1}{25}\cdot \cfrac{1}{m}\implies \cfrac{1}{11}=\cfrac{1}{25m}\implies 25m=11\implies m=\cfrac{11}{25}`