sandy wrote:
A car dealer received a shipment of cars, half of which were black, with the remainder consisting of equal numbers of blue, silver, and white cars. During the next month, 70 percent of the black cars, 80 percent of the blue cars, 30 percent of the silver cars, and 40 percent of the white cars were sold. What percent of the cars in the shipment were sold during that month?
A. 36%
B. 50%
C. 55%
D. 60%
E. 72%
Another approach is to
assign some initial values that match the given information.
Half of the cars were black, with the remainder consisting of equal numbers of blue, silver, and white carsLet's say we have:
30 black cars
10 blue cars
10 silver cars
10 white cars
TOTAL CAR INITIALLY = 30 + 10 + 10 + 10 =
60Aside: The above values satisfy the given conditions. HOWEVER, we can also use different values (like 6 black cars, 2 blue cars, 2 silver cars and 2 white cars) and get the same correct answer. I like using the above values because they're easy to use with percents. During the next month, 70 percent of the black cars, 80 percent of the blue cars, 30 percent of the silver cars, and 40 percent of the white cars were sold Black cars sold = 70% of 30 = 21
Blue cars sold = 80% of 10 = 8
Silver cars sold = 30% of 10 = 3
White cars sold = 40% of 10 = 4
TOTAL CAR SOLD = 21 + 8 + 3 + 4 =
36What percent of the cars in the shipment were sold during that month?36/
60 = 3/5 = 60%
Answer: D
Cheers,
Brent
How do I even come up with this approach, I was unable to think of it.