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In the 75th Congress (1937−1939) there were in the Senate 75 Democrats, 17 Republicans, and 4 members of other parties. Suppose that a bill passed the Senate with 32 more votes in favor than against, with three times as many Democrats voting in favor as non-Democrats voting in favor, and 35 more Democrats voting in favor than Republicans voting in favor. If every member voted either for the bill or against it, how many Democrats, how many Republicans, and how many members of other parties voted in favor of the bill?Democrats       membersRepublicans       membersother parties       members

Question

In the 75th Congress (1937−1939) there were in the Senate 75 Democrats, 17 Republicans, and 4 members of other parties. Suppose that a bill passed the Senate with 32 more votes in favor than against, with three times as many Democrats voting in favor as non-Democrats voting in favor, and 35 more Democrats voting in favor than Republicans voting in favor. If every member voted either for the bill or against it, how many Democrats, how many Republicans, and how many members of other parties voted in favor of the bill?

Democrats         members
Republicans         members
other parties         members
check_circleAnswer
Step 1

To determine the number of favorable votes in each category (party)

Step 2

Formulate the equations for the three unknowns ( the number of votes in each party in favor of the bill). Here ...

Total votes 75+17+4=96
Now,x+y(96- (x+y+)+32
xy 64 (1)
non-Democrats, favorable = y+.
Given, x 3(y (2)
(3)
x-y 35
help_outline

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Total votes 75+17+4=96 Now,x+y(96- (x+y+)+32 xy 64 (1) non-Democrats, favorable = y+. Given, x 3(y (2) (3) x-y 35

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