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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(2198)   (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
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