SOLUTION: HELP!!! 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 5

Question 526398: HELP!!! 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 32%. If the percentage of buyers in the oldest group is doubled, it is 21% less than the percentage of users in the middle group. Find the percentage of buyers in each of the three age groups.

Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = number of buyers 35 and younger
Let = number of buyers 36-59
Let = number of buyers 60 and older
given:
(1)
(2)
(3)
---------------
There are 3 equations and 3 unknowns, so it's solvable
Substitute (1) into (2)
(2)
(2)
(2)
Substitute (1) into (3)
(3)
(3)
---------------------
(3)
Substitute (3) into (2)
(2)
(2)
(2)
Substitute (2) and (3) into (1)
(1)
1)
(1)
(1)
(1)
and, since
(2)
(2)
(2)
(2)
and
(3)
(3)
(3)
(3)
check:
(1)
(1)
(1)
= 34% of buyers are 35 and younger
= 51% of buyers are 36-59
= 15% of buyers are 60 and older
RELATED QUESTIONS
Last year at a certain car dealership the ratio of cars to suv's sold was 5 to 3. If 400... (answered by rfer,drj)

A car dealer, at a year-end clearance, reduces the price of last year’s models by a... (answered by ikleyn)

A new car dealership sells cars and trucks at a ratio of 7 to 5. Last month the... (answered by LinnW)

Karl determined that the ratio of trucks to cars sold at his car dealership last month... (answered by checkley71)

Of all the new vehicles of a certain model that are sold, 20% require repairs to be done... (answered by ikleyn)

Of all new vehicles of a certain model that are sold, 20% require repairs to be done... (answered by Boreal)

Of all the new vehicles of a certain model that are sold, 14% require repairs to be done... (answered by robertb)

During a year ending April 30 of that year, there were approximately 5.0 million sales of (answered by ikleyn)