Q:

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 !

Accepted Solution

A:
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 = SAnd the total number of automatic transmission car = 200 + SThe 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 ) = 152Or, 15 S + 10 × ( 200 + S )            = 152 × 100Or, 25 S = 15200 - 2000Or,  2 5 S = 13200∴            S = [tex]\frac{13200}{25}[/tex]So,         S = 528I.e The total number of standard transmission car = S = 528And the total number of automatic transmission car = 200 + 528 = 728Hence The total number of automatic transmission car dealership sell = 728 Answer