SOLUTION: Henry bought a CD on sale for one third off. The CD cost Henry $9.90. What was the original price of the CD? 7th grade math. Must find the variable, v. Write the expression usin

Algebra ->  Percentages: Solvers, Trainers, Word Problems and pie charts -> SOLUTION: Henry bought a CD on sale for one third off. The CD cost Henry $9.90. What was the original price of the CD? 7th grade math. Must find the variable, v. Write the expression usin      Log On


   



Question 1012760: Henry bought a CD on sale for one third off. The CD cost Henry $9.90. What was the original price of the CD?
7th grade math. Must find the variable, v. Write the expression using decimals not fractions. Solve showing all steps.

Found 3 solutions by stanbon, fractalier, MathTherapy:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Henry bought a CD on sale for one third off. The CD cost Henry $9.90.
What was the original price of the CD?
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Let original price be "x"::
(2/3)x = 9.90
----
(1/3)x = 4.95
----
x = $4.85
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Cheers,
Stan H.
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Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
Well, if he got 1/3 off, he paid 2/3 of the original price, which was $9.90.
We can write
(2/3)v = 9.90
But if we write as a decimal, we have
.66667v = 9.90
so that, when we divide by .66667 we get
v = 9.90/.66667 = $14.85

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!
Henry bought a CD on sale for one third off. The CD cost Henry $9.90. What was the original price of the CD?
7th grade math. Must find the variable, v. Write the expression using decimals not fractions. Solve showing all steps.
With 1%2F3 off, he paid 2%2F3 of original price
Let original price be U
2%2F3 of original price represents $9.90, so we can say that:
%282%2F3%29%2F1+=+9.9%2FU
2U%2F3+=+9.9 ------ Cross-multiplying
2U = 3(9.9) ---- Cross-multiplying
U, or original price = 3%289.9%29%2F2 = highlight_green%28%22%24%2214.85%29