Assuming numbers
n=75
t = 60
c=15 (t/4)
pt = 2/3 * 60 = 40
Proportion of pt = 40/75 = 8/15
So, in terms of n, it is 8n/15
cronkey7
A total of n trucks and cars are parked in a lot. If the number of cars is 1/4 the number of trucks, and 2/3 of the trucks are pickups, how many pickups, in terms of n, are parked in the lot?
A. 1/6 n
B. 5/12 n
C. 1/2 n
D. 8/15 n
E. 11/12 n
I decided to use 100 for the total of trucks + cars. So n = 100.
Number of cars = 1/4 # of trucks, then there are 25 cars and 75 trucks
2/3 of the trucks are pickups, so 2/3 of 75 is 50.
Therefore, the number of pickups (50) in terms of n would be (1/2)n, which equals 100 * 1/2 = 50, the number of pickups. = C
However, this is not the correct answer- the correct answer is D, 8/15. Can someone explain???