题目信息
The figure above represents a network of one-way streets. The arrows indicate the direction of traffic flow, and the numbers indicate the amount of traffic flow into or out of each of the four intersections during a certain hour. During that hour, what was the amount of traffic flow along the street from R to S if the total amount of traffic flow into P was 1,200 ? (Assume that none of the traffic originates or terminates in the network.)
A:200
B:250
C:300
D:350
E:400
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正确答案：
B:250
Arithmetic Computation with integers
In the following, the notation A→B will be used to represent the amount of traffic flow from A into B. Let x represent R→S. From the figure, the amount of traffic flow into P was 800 plus S→P. The total amount of traffic flow into P was 1,200, so S→P was 400. The amount of traffic flow into S was 550 plus R→S, so 550 + x. The amount of traffic flow out of S was 400 plus S→P, or 400 + 400 = 800. Since the amount of traffic flow into S must equal the amount of traffic flow out of S, 550 + x = 800. Therefore, x = 250, so R→S was 250.
The correct answer is B.
In the following, the notation A→B will be used to represent the amount of traffic flow from A into B. Let x represent R→S. From the figure, the amount of traffic flow into P was 800 plus S→P. The total amount of traffic flow into P was 1,200, so S→P was 400. The amount of traffic flow into S was 550 plus R→S, so 550 + x. The amount of traffic flow out of S was 400 plus S→P, or 400 + 400 = 800. Since the amount of traffic flow into S must equal the amount of traffic flow out of S, 550 + x = 800. Therefore, x = 250, so R→S was 250.
The correct answer is B.
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