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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Official Explanation

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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

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DerrickApr 12, 2025

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BraedonFeb 6, 2025

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SamanvayeApr 28, 2025

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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.