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# Can you find the regular price of the snowboard if the snowboard at the left is on sale for \$12.74. The snowboard is on sale for 60% off?

Can you find the regular price of the snowboard if the snowboard at the left is on sale for \$12.74. The snowboard is on sale for 60% off?  I need to know the steps in how to solve this problem

### 5 Answers by Expert Tutors

William F. | Social Studies, History, Arithmetic, and Algebra I.Social Studies, History, Arithmetic, and...
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There are many ways to answer this question.  When you are dealing with a tenth situation as in your question, I would ignore the percentage for the moment.  That leaves you with:  4X = \$12.74.  You have \$12.74/4 to get X = \$3.185.  Now, you need to remember that equals 1 tenth of the answer.  (This is where the tenth factor is brought back in.)  \$3.185*10 = \$31.85.

Now restate the problem without the comments.

.4X = 4/10 * X

4/10 * X = \$12.74

10(4/10 * X) = 10 * \$12.74

4X = \$127.40

X =  \$127.40/4

X = \$31.85

Peter I. | Tutoring for Scholastic Excellence in Business and ScienceTutoring for Scholastic Excellence in Bu...
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There are many approaches to the problem. However, the following procedure is applicable

irrespective of the scenario.

Profit or Loss percentage = (Selling Price - Cost Price)/Cost Price * 100

From the question, we know that a loss was incurred in the transaction

In this case, Selling Price = \$12.74, Cost Price = x, loss percentage = 60

The next step is to plug in the figures into the above equation.

60% or 0.6 = (12.74-x)/x

Since it was a loss, place a negative sign before 0.6.

-0.6 = (12.74 - x)/x

Next step, cross-multiply to get -0.6x = 12.74 - x

Next step, solve for x.

-0.6x + x = 12.74

0.4x =12.74

x = 31.85

Therefore, the original cost or regular price of the snowboard was \$31.85

4.9 4.9 (228 lesson ratings) (228)
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Hi Tykia -- since 60% is 1.5 times 40%, add back 1.5 of \$12.74:  12.74+12.74+6.37= 25.58+6.37= \$31.85 :)

Ralph L. | Algebra I, II, Visual Basic, Beginning C++ tutorAlgebra I, II, Visual Basic, Beginning C...
4.0 4.0 (1 lesson ratings) (1)
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Since it's on sale for 60% off, what is left for you to pay is 40% of the regular price:

40% * regular price = 12.74

regular price = 12.74 / .4

regular price = \$31.85

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If 60% off makes the price \$12.74, you know that \$12.74 is the remaining 40% (100%-60% (off) =40%). Try rewording the question:

\$12.74 is 40% of what?

I was taught:

is/of = %/100

in other words, using 'x' as the missing value:

12.74/x=40/100 (12.74 IS 40% OF X  or 12.74=IS, X=OF, %=40)

You then need to cross-multiply:

so multiply the bottom by the top:

40*x=12.74*100

40x=1274

then divide each side by 40 to isolate the 'x':

x=1274/40

x=\$31.85