In class of 68 students, there are 8 fewer Democrats than Republicans, and there

Question

In class of 68 students, there are 8 fewer Democrats than Republicans, and there are only half as many Independents as Democrats. If every student is registered as Democrat, Republican, or Independent, how many students are in each group?

Explanation / Answer

Dear Student Thank you for using Chegg ! Given a class of 68 Students comprising either of republican, democrat or indipendents Let the number of republicans be R Number of democrats = D Number of Independents = I Now as per question R + D + I = 68 Eq(1) Also given D = R - 8 ( democrats are 8 fewer than republicans) & => R = D + 8 I = D/2 Independents are half of democrats Substituting I & R interms of D in equation (1) we get D + 8 + D + D /2 = 68 5D / 2 = 60 5D = 120 D = 24 students => R = 24 + 8 = 32 students => I = 24/2 = 12 students Hence number of republicans , democrats and independents are 32, 24 & 12 respectively. Solution

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