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Andru [333]
2 years ago
13

In a certain year, there were 88 female officials in Congress, which is comprised of the House of Representatives and the Senate

. If there were 54 more female members of the House of Representatives than female senators, find the number of females in each house of Congress.
Mathematics
1 answer:
Ainat [17]2 years ago
3 0

Answer:

  • 71 in House of Representatives
  • 17 in Senate

Step-by-step explanation:

Let h and s represent the numbers in the House and Senate, respectively. Then we have ...

  h + s = 88

  h - s = 54

Subtracting the second equation from the first gives ...

  (h +s) -(h -s) = (88) -(54)

  2s = 34 . . . . . simplify

  s = 17 . . . . . . . divide by 2

  h = 88 -17 = 71 . . . . find the other value using the sum equation

There were 71 females in the House of Representatives, and 17 females in the Senate.

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