Write a System of Linear Equations in Three Variables, and Then

Multiple Choice

Write a system of linear equations in three variables, and then use matrices to solve the system.
-There were approximately 100,000 vehicles sold at a particular dealership last year. The dealer tracks sales by age group for marketing purposes. The percentage of 36- to 59-year-old buyers and the percentage of
Buyers 60 and older combined exceeds the percentage of buyers 35 and younger by 38%. If the percentage
Of buyers in the oldest group is doubled, it is 24% less than the percentage of users in the middle group.
Find the percentage of buyers in each of the three age groups.

A) 31% 35 and younger; 54% 36-59 year olds; 15% 60 and older
B) 33% 35 and younger; 51% 36-59 year olds; 16% 60 and older
C) 25% 35 and younger; 56% 36-59 year olds; 19% 60 and older
D) 15% 35 and younger; 54% 36-59 year olds; 31% 60 and older