SOLUTION: An automobile dealership sells cars that are small, medium, and large. Last year they sold 1475 cars. They sold twice as many small cars as large ones. They sold 90 less medium-siz

Question 594485: An automobile dealership sells cars that are small, medium, and large. Last year they sold 1475 cars. They sold twice as many small cars as large ones. They sold 90 less medium-sized cars than they did small ones. How many large cars did they sell?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Write an equation for each statement
:
An automobile dealership sells cars that are small, medium, and large.
Last year they sold 1475 cars.
S + M + L = 1475
:
They sold twice as many small cars as large ones.
s = 2L
or we can divide both sides by 2
.5s = L
:
They sold 90 less medium-sized cars than they did small ones.
m = s-90
;
In the 1st equation, replace M with (S-90), and L with .5S
S + (S-90) + .5S = 1475
2.5S = 1475 + 90
2.5S = 1565
S = 1565/2.5
S = 626 small cars
then
M = 626 - 90
M = 536 Medium cars
and
L = .5(626)
L = 313 large cars
:
:
See if that checks out: 626 + 536 + 313 = 1475

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