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erma4kov [3.2K]
3 years ago
14

In some? country's Congress, the number of Representatives is 20 less than five times the number of Senators. There are a total

of 520 members. Find the number of Senators and the number of Representatives.
Mathematics
1 answer:
cestrela7 [59]3 years ago
7 0

Answer:

  • Senators: 90
  • Representatives: 430

Step-by-step explanation:

Let s represent the number of Senators in the Congress. Then the number of Representatives is (5s-20) and the total number of members is ...

  s + (5s -20) = 520

  6s = 540 . . . . . . . . . add 20, simplify

  s = 90 . . . . . . . . . . . divide by 6

The number of Senators is 90; the number of Representatives is 430.

_____

You can find the number of Representatives either as 520 -90 = 430 or as 5·90 -20 = 430.

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