SOLUTION: Alexis bought a brand new sweater for $45. She got it on sale at a discount of 20% off of the original price. How much did the sweater originally cost? Compose an algebraic equatio

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: Alexis bought a brand new sweater for $45. She got it on sale at a discount of 20% off of the original price. How much did the sweater originally cost? Compose an algebraic equatio      Log On


   



Question 1077095: Alexis bought a brand new sweater for $45. She got it on sale at a discount of 20% off of the original price. How much did the sweater originally cost? Compose an algebraic equation and solve.
Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!

$45 must equal X minus 20% of X

45%22%22=%22%22X+-+0.20%2AX

45%22%22=%22%22%221.00%22X+-+0.20X

45%22%22=%22%22%28%221.00%22+-+0.20%29X

45%22%22=%22%220.80X  <-- You COULD BEGIN HERE IF YOU REALIZE THAT THE SALE PRICE IS 80% OF THE ORIGINAL PRICE!

45%2F0.80%22%22=%22%22%280.80X%29%2F0.80 

%22%2456.25%22%22%22=%22%22X

Edwin