# SOLUTION: One third of a number is 2 more than one-sixth of the same number. What is the number? Also: Suppose Stephanie walks D mi at R mph in the same time that wally walks d mi at

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 Question 77712This question is from textbook Introductory Algebra : One third of a number is 2 more than one-sixth of the same number. What is the number? Also: Suppose Stephanie walks D mi at R mph in the same time that wally walks d mi at r mph. Give an equation relating D,R,d, and r.This question is from textbook Introductory Algebra Answer by ptaylor(2048)   (Show Source): You can put this solution on YOUR website! Let x=the number (1/3)x=1/3 of the number (1/6)x=1/6 of the number, and Now we are told that: (1/3)x-2=(1/6)x multiply every term by 6 to get rid of fractions (1/3)(6)(x)-2(6)=(1/6)(6)x simplify 2x-12=x subtract 2x from both sides 2x-2x-12=x-2x -12=-x or x=12------------------------------------------------ans CK (1/3)x=(1/3)(12)=4 (1/6)x=(1/6)(12)=2 And 4 is two more than 2 Hope this helps----ptaylor 2nd Problem: Stephanie: Distance (D) equals Rate (R) times Time(T) or D=RT; R=D/T; T=D/R Wally Distance (d) equals Rate (r) times Time (t) or d=rt; r=d/t; t=d/r Now I believe we are told that: T=t T=D/R and t=d/r equating these two equations, we get: D/R=d/r multiply both sides by Rr to get rid of fractions (D/R)(Rr)=(d/r)(Rr) simplify Dr=dR Hope this helps----ptaylor