Adding and subtracting with like denominators Transitional Reasoning Practice

Questions

1. 1.

   A chef prepares two specialty trail mix blends using dried blueberries and sunflower seeds. Blend X requires $\frac{6}{25}$ kilogram of dried blueberries and $\frac{9}{25}$ kilogram of sunflower seeds, while Blend Y requires $\frac{5}{25}$ kilogram of dried blueberries and $\frac{14}{25}$ kilogram of sunflower seeds. How much more sunflower seeds than dried blueberries does the chef use in total for both blends?

   • A) $\frac{12}{25}$ kilogram
   • B) $\frac{4}{25}$ kilogram
   • C) $\frac{9}{25}$ kilogram
   • D) $\frac{23}{25}$ kilogram
2. 2.

   Two student teams are collecting clean plastic bottles to fill a large recycling bin marked in tenths. Team Alpha fills $\frac{4}{10}$ of the bin before lunch and $\frac{3}{10}$ of the bin after lunch. Team Beta fills a total of $\frac{5}{10}$ of the bin by the end of the day. How much more of the bin did Team Alpha fill than Team Beta?

   • A) $\frac{1}{10}$
   • B) $\frac{7}{10}$
   • C) $\frac{2}{10}$
   • D) $\frac{12}{10}$
3. 3.

   A baker begins the morning with $\frac{10}{12}$ kilogram of flour in a storage container. During the first bake, the baker uses $\frac{4}{12}$ kilogram for baguettes and $\frac{3}{12}$ kilogram for rolls. If the baker then pours $\frac{5}{12}$ kilogram of flour back into the container from a fresh sack, how much flour is in the container now?

   • A) $\frac{4}{12}$ kilogram
   • B) $\frac{6}{12}$ kilogram
   • C) $\frac{8}{12}$ kilogram
   • D) $\frac{8}{24}$ kilogram

Answers and step-by-step solutions appear after you finish the test.