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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 !

Respuesta :

Answer:

The total number of automatic transmission car dealership sell = 728

Step-by-step 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 = [tex]\frac{13200}{25}[/tex]

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

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