Write the word or phrase that best completes each statement or answers the question.
-There were approximately 100 vehicles sold at a particular dealership last month. The dealer tracks salesby age group for marketing purposes. The number of 36- to 59-year-old buyers and the number of buyers60 and older combined exceeds the number of buyers 35 and younger by 34. If the number of buyers in theoldest group is doubled, it is 37 less than the number of users in the middle group. Find the number ofbuyers in each of the three age groups.
A)33, 35 and younger; 57, 36-59 year olds; 10, 60 and older
B)35, 35 and younger; 54, 36-59 year olds; 11, 60 and older
C)10, 35 and younger; 57, 36-59 year olds; 33, 60 and older
D)27, 35 and younger; 59, 36-59 year olds; 14, 60 and older

Question

Quizplus · Accepted Answer

The correct answer is found by setting up equations based on the given information and solving them. The total number of vehicles sold is 100. Let x be the number of buyers 35 and younger, y be the number of buyers 36-59, and z be the number of buyers 60 and older. We have the equations: x + y + z = 100 (total sales), y + z = x + 34 (older buyers exceed younger by 34), and 2z = y - 37 (double the oldest is 37 less than middle age group). Solving these equations gives us x = 33, y = 57, and z = 10.

Write the Word or Phrase That Best Completes Each Statement