Question

Last year, a local car dealership sold 200 more cars with automatic transmission than with standard transmission. During that year, 15% of the standards and 10% of the automatics sold were blue. If the total number of blue cars sold was 152, how many cars with automatic transmission did the dealership sell? help ! Explain !

Answer 1

The total number of automatic transmission car dealership sell = 728

Explanation:

Given as :

Let the total number of standard transmission car = S

And the total number of automatic transmission car = 200 + S

The percentage of blue standard car = 15%

The percentage of blue automatic car = 10%

Total number of blue car sold = 152

∴ 15% of S + 10% of ( 200 + S ) = 152

Or, 15 S + 10 × ( 200 + S ) = 152 × 100

Or, 25 S = 15200 - 2000

Or, 2 5 S = 13200

∴ S =
`(13200)/(25)`

So, S = 528

I.e The total number of standard transmission car = S = 528

And the total number of automatic transmission car = 200 + 528 = 728

Hence The total number of automatic transmission car dealership sell = 728 Answer