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Mathematics 15 Online
OpenStudy (fredoneedshelp):

HELP A suit is on sale for 28% off. The sale price is $594. What is the regular price?

OpenStudy (mathmale):

Here you need to do the opposite of what we did last time: we need to convert 28% to a decimal fraction or proper fraction. Last time we MULTIPLIED 0.8 by 100%. Here, we DIVIDE 28% by 100%. What's your result? Let x represent the regular (non-sale) price. Then multiply this by your most recent result and set the result equal to $594. How would you then find x? x is the dollar amount of the full retail price, and is what you want.

OpenStudy (fredoneedshelp):

im a bit confused @mathmale its 0.28?

OpenStudy (latinc):

0.28 = 28 %

OpenStudy (fredoneedshelp):

im confused then

OpenStudy (latinc):

why?

OpenStudy (fredoneedshelp):

idk the answer

OpenStudy (fredoneedshelp):

this is my last question and idk how to do this

OpenStudy (latinc):

think in fractions

OpenStudy (latinc):

|dw:1464030860075:dw|

OpenStudy (latinc):

|dw:1464030882967:dw|

OpenStudy (fredoneedshelp):

i know but now what?

OpenStudy (latinc):

create an equation to solve for the regular price

OpenStudy (latinc):

|dw:1464031005071:dw| fill in the fraction with known variables

OpenStudy (latinc):

what is your sale price?

OpenStudy (fredoneedshelp):

594

OpenStudy (latinc):

so replace sale price with 594

OpenStudy (fredoneedshelp):

then?

OpenStudy (latinc):

you already know percent to decimal is 0.28 so replace that fraction with 0.28

OpenStudy (fredoneedshelp):

i divided 594/0.28 theres alot of numbers

OpenStudy (latinc):

dollars so round to the nearest hundredth

OpenStudy (fredoneedshelp):

2121.42857142

OpenStudy (latinc):

|dw:1464031194653:dw|

OpenStudy (latinc):

round to 2121.43$ dollars

OpenStudy (fredoneedshelp):

thats the answer?

OpenStudy (fredoneedshelp):

that seems too big from looking at the sale price

OpenStudy (latinc):

test it using the fractions but solve for sale price

OpenStudy (mathmale):

Yes, test your result. What is 28% of $2121? Subtract that result from $2121. Is your result $594?

OpenStudy (fredoneedshelp):

yea.

OpenStudy (fredoneedshelp):

2121.43 right?

OpenStudy (latinc):

instead of using 0.28 use 0.72

OpenStudy (latinc):

because you're paying 72% of the price

OpenStudy (mathmale):

Sorry, but after doing this problem myself, I must disagree with you. $2121 is far too great a price to be the correct answer. Note that if you take 28% of that, you get $594. But 28% represents the DISCOUNT. The sale price would be $2121-$594=$1527. Not so. Again I ask you to let x represent the full price of the item. The item is discounted 28%, so the discount is 0.28x. Then the sale price is 1.00x - 0.28x = 0.72x, and this equals $594. Try again. Find x. It's not $2121.

OpenStudy (mathmale):

"latinC Human Calculator Best Response Medals 0 instead of using 0.28 use 0.72" Good suggestion. Sale price is 0.72x=$594. Solve this for x, the original price.

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