cronkey7 wrote:
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
We can let the number of cars = c and number of trucks = t; thus:
c + t = n
and
c = (1/4)t
Thus:
(1/4)t + t = n
t + 4t = 4n
5t = 4n
t = 4n/5
Since 2/3 of the trucks are pickups, there are (2/3)(4n/5) = 8n/15 pickups in the parking lot.
Answer: D
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