In a candy store , a $12.00 jar of candy is labeled , " 35% off ." what is the discount ? what is the sale price of the jar of candy ?

$7.80

Step-by-step explanation:

Tjar originally costs $12.00. It is marked 35% off. This means of the original price, you pay 65% of it since 100%-35%=65%.

To find the sale price, multiply the original price by 65%. In order to do that you must convert the percent to a decimal first.

65% becomes 0.65

We multiply 12(0.65)=7.8.

The sale price is $7.80

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we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4