In a town council, there are 150 members, eac… | GMAT Sprint

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PS · Problem Solving

sub-505

Algebra

In a town council, there are 150 members, each of whom is either a Democrat or a Republican. If there are 30 more Republicans than Democrats, how many Republicans are in the council?

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Correct

105

120

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Explanation

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Official Explanation

Official

Let the number of Democrats be represented by D and the number of Republicans by R. We know from the problem that the total number of members is 150, so we can write the equation: D + R = 150. We are also told that there are 30 more Republicans than Democrats, which gives us the second equation: R = D + 30. Now we can substitute the second equation into…

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Comments

AnshulApr 23, 2025

Greatt

DerrickApr 12, 2025

thanks!

monojFeb 16, 2025

greatt question!

BraedonFeb 6, 2025

this helped me

NiyaMay 4, 2024

Great question!

SamanvayeApr 28, 2025

Greatt

ZofishanSep 13

Easy one, just set up R = D + 30 and total to 150. Got it quick.

ManuSep 19

same, took me like 20 seconds lol

GmatMay 26

Is this really sub-505? felt a bit tricky with the wording but the math is simple.

ArthurMay 27

yeah the algebra is basic, just gotta read carefully

What this question tests

What it tests

Your ability to manipulate linear and quadratic expressions, substitute unknowns, and solve equations under time pressure.

Common trap

Losing a sign when moving terms across the equals sign, or dividing both sides by a variable that could equal zero.