If it was 10 bags of cat food and a cat that eats 2 bags per week, we'd just divide 10/2 and get 5 weeks.
It's the same thing here, except we're dividing fractions:
[tex]n=\dfrac{3/4}{1/10} [/tex]
[tex]= \dfrac{3}{4} \times 10 [/tex]
[tex]= \dfrac{15} {2} [/tex]
As a mixed number, that's
Answer: 7 1/2 weeks