percentages

[slk]

If you have an item on sale for $19.50 and this is 65% off of the regular price how would you find out what the regular price is.

 

[tkhunny]

Name Stuff!

R = Regular Price.

How does R relate to $19.50 and 65%?

 

[slk]

yes we can name all we want but I still can not figure out how to solve the problem of what the regular price would have been or R= as you have put it but thank you for trying to help anyway

 

[Denis]

Try a similar but easier case, like:

If you have an item on sale for $18 and this is 10% off of the regular price how would you find out what the regular price is.

r = regular price : NAME THINGS :twisted:

r - (10% of r) = 18
r - .10r = 18
.9r = 18

Can you finish?
Do yours SAME way.

 

[stapel]

yes we can name all we want but I still can not figure out how to solve the problem

The point of naming things is that you can then use those names to create an equation.

i) If the regular price is "R", then what is the expression for "65% of the regular price"?

ii) If the sale price is sixty-five percent off the regular price, what operation should be applied to "R" and your expression?

iii) If the sale price is equal to sixty-five percent off the regular price, what should you set the result from (ii) equal to?

Or does your book want you to use some other method? If so, please reply with clarification. Thank you.

Eliz.

 

[First_timer]

step-by-step answer

19.50 is 65% off the regular price then:

65 K
100 19.50

65 x 19.50=51.68

100/51.68=K

K + 19.50= the regular price

 

[stapel]

Re: step-by-step answer

19.50 is 65% off the regular price then:
65 K
100 19.50
65 x 19.50=51.68
100/51.68=K
K + 19.50= the regular price

I'm sorry, but I don't follow the above construction. What does "K" stand for? Does this:

. . . . .65 K
. . . . .100 19.50

...mean this:

. . . . .65/100 = K/19.50

...or something else?

Thank you.

Eliz.

P.S. Note: Your construction, as I read it, appears to say that the original price was about $21.68, but $19.50 is clearly not 65% off (less than) $21.68. So I must be misunderstanding what you've done.

 

[tkhunny]

yes we can name all we want but I still can not figure out how to solve the problem of what the regular price would have been or R= as you have put it but thank you for trying to help anyway

You are allowed to think. Really, some people don't know that. I am NOT trying to insult you.

19.50 is 65% off of the regular price.

R = regular price.

You are expected to know a few things: You probably think about many of these things all the time when shopping.

65% of the regular price is the discount.

65% can be expressed as 0.65.

The regular price, less the discount, is the sale price.

OK, now let's do some algebra.

R*0.65 = the discount.

The regular price, less the discount, is the sale price.

R, less the discount, is the sale price.

R - the discount is the sale price.

R - R*0.65 is the sale price

R - R*0.65 = the sale price

R - R*0.65 = $19.50

That's it for the setup.Solve.

R(1 - 0.65) = $19.50
R(0.35) = $19.50
R = $19.50/0.35
R = $55.714285714285714285714285714286

That is a very strange result. I would have to question the exact wording of the question. Nevertheless,

R is $55.714285714285714285714285714286

The regular price is $55.714285714285714285714285714286