Question

If three 100-pound bags of cement are mixed with four 100-pound bags of sand , what fraction of the mixture is cement ?

Answer 1

The total weight of the cement is $3\cdot100=300$ pounds and the total weight of the sand is $4\cdot100=400$ pounds. The total weight of the mixture is $300+400=700$ pounds. The fraction of the mixture that is cement is $\dfrac{300}{700}=\boxed{\dfrac{6}{14}}$.