A certain state legislature consists of 124 members, each of whom is either a democrat or a republican. If there are 18 more republicans than democrats, how many republicans are in the legislature?
a. 44
b. 53
c. 71
d. 80
e. 106
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krazy800
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jcnissi wrote:A certain state legislature consists of 124 members, each of whom is either a democrat or a republican. If there are 18 more republicans than democrats, how many republicans are in the legislature?
a. 44
b. 53
c. 71
d. 80
e. 106
124 = D + R
R= D+18
124 = 2D + 18
D = 53
R =71
OA C
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amising6
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let number of democrats be represented as D
number of republican represented by R
now we know D+R=124 ----(equation 1)
given
If there are 18 more republicans than democrats R=D+18 ---------(equation 2)
putting the value of R from equation 2 in equation 1:
R+D=124
D+18+D=124 since R=D+18 ---------(equation 2)
D=53
So R=124-53=71
so we can conclude there are 71 Republican in legislature
number of republican represented by R
now we know D+R=124 ----(equation 1)
given
If there are 18 more republicans than democrats R=D+18 ---------(equation 2)
putting the value of R from equation 2 in equation 1:
R+D=124
D+18+D=124 since R=D+18 ---------(equation 2)
D=53
So R=124-53=71
so we can conclude there are 71 Republican in legislature
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Scott@TargetTestPrep
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jcnissi wrote:A certain state legislature consists of 124 members, each of whom is either a democrat or a republican. If there are 18 more republicans than democrats, how many republicans are in the legislature?
a. 44
b. 53
c. 71
d. 80
e. 106
We can create the equations:
R + D = 124
And
R - 18 = D
Thus:
R + R - 18 = 124
2R = 142
R = 71
Answer: C
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