I NED HELP lol A store decreased the price of all its jeans by 20%. If Tara bought a pair of jeans for $50, what was the original price?
Group of answer choices

$40.00

$62.50

$70.00

$60.00

Work Shown:

x = original price

20% = 20/100 = 0.20

20% of x = 0.20x = discount

x - 0.20x = 0.80x = final price

0.80x = 50

x = 50/0.80

x = 62.50

The original price of the jeans was $62.50

Note how,

20% of x = 0.20*x = 0.20*62.50 = 12.50

Tara saves $12.50 (this is the discount).

The price she pays is x - 0.20x = 62.50 - 12.50 = 50 dollars, which matches with what your teacher gave in the instructions. This confirms we have the correct original price.

geometry: triangles

solvers

lessons

answers archive

call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

25.45584

this is a direct variation proportion. y = kx

y is the total amount due, k is the constant of variation, and x is the number of texts sent.

plug in the 3.20 and the 16 to solve for the "k". this is the constant of proportionality. it is the value that will not change.

3.20 = k(16). solving you get $.20 per text.

the equation would then be y = .20x