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

question 23

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

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Definitions:

Feigning Illness

The act of pretending to be affected by a medical condition or symptoms of illness, often for gaining sympathy, avoiding duty, or other personal benefits.

External Gain

Benefits obtained from an individual's behavior or condition, often viewed in the context of psychological disorders or social interactions.

Factitious

Intentionally produced or simulated, often referring to symptoms or illnesses created by an individual to assume the sick role.

Stress

A condition of emotional, mental, or physical strain or tension resulting from adverse or demanding circumstances.