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
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-> 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
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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.
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
