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DAT and OAT Math Practice Question (From Our Math Instructor)


Max and Dave received a combined test score of 140. Max’s score was Z times higher than Dave’s.
How much did Dave score in terms of Z?


A)
140/(Z+1)
B) 140/(Z−1)
C) Z/(140+1)
D) 1/(140+Z)
E) Z/(1−140)




Solution


Let:


  • M = Max’s score
  • D = Dave’s score

We are told:
M = Z·D


Their combined score is:
M + D = 140


Substitute:
Z·D + D = 140
D(Z + 1) = 140
D = 140/(Z + 1)



Correct Answer: A
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