Tag Archives: Proportions

SAT/ACT problem of the week, December 01, 2016 solution

Problem of the Week, , , , ,

Hint for process of elimination: Whenever an SAT gives a question that is realistic, it attempts to make sure that the solution is realistic. Therefore, if you happen to know anything about New York City, use that.

Also, notice that the ratio of the population of NYC to the population of the rest of New York is $latex 8:11 $. That means that a bit less than half of all New Yorkers live in New York City. Therefore, you should expect the answer to be a little under $latex 50\% $. That leaves one or maybe two choices.

Read on for a full solution.

Continue reading →

SAT/ACT problem of the week, December 01, 2016

Problem of the Week, , , , ,

The ratio of the population of New York City to the population of the rest of New york is $latex 8:11 $. What percentage of the population of New York lives in New York City?

  1. $latex 27.2\% $ (check answer)
  2. $latex 37.5\% $ (check answer)
  3. $latex 42.1\% $ (check answer)
  4. $latex 57.9\% $ (check answer)
  5. $latex 72.7\% $ (check answer)

Have a solution, hint or question? Share it with us! A full solution will be posted on December 7th. If you would like to learn how to enter math formulas into this blog, visit the WordPress LaTeX tutorial page.

SAT/ACT problem of the week, November 10, 2016 solution

Problem of the Week, , , , ,

Hint for process of elimination: In the vast majority of cases, the SAT problem creators are very careful to make solutions realistic. You may recognize 5 km, or 3.1 miles, to be the standard distance for a 5K, a very common race frequently ran or walked for charity or in local or school competition across the United States. A 5K can be run in 15 minutes for the fastest high school runners, or walked at a comfortable pace in less than one hour. Use this to eliminate the two answers that do not make sense.

Read on for a full solution.

Continue reading →

SAT/ACT problem of the week, November 10, 2016

Problem of the Week, , , , ,

If Sophie can run 0.03 km in 0.12 minutes, in how many minutes can Sophie run 5 km?

  1. $latex 0.15 $ (check answer)
  2. $latex 20 $ (check answer)
  3. $latex 33 \frac{1}{3} $ (check answer)
  4. $latex 45 $ (check answer)
  5. $latex 360 $ (check answer)

Solutions, hints, and questions are welcomed. A full solution will be posted on November 16th. If you would like to learn how to enter math formulas into this blog, visit the WordPress LaTeX tutorial page.