SOLUTION: Set up a linear equation that models each problem and solve. Show your work. Ive tried many different ways but have yet to figure it out thanks soo much! Christine bought a

Algebra ->  Linear-equations -> SOLUTION: Set up a linear equation that models each problem and solve. Show your work. Ive tried many different ways but have yet to figure it out thanks soo much! Christine bought a      Log On


   

Question 315562: Set up a linear equation that models each problem and solve. Show your work.
Ive tried many different ways but have yet to figure it out thanks soo much!

Christine bought a handbag for $53.40 on sale. It was marked down 40% off the original price. How much did Christine save?

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Let x = original price

Since "Christine bought a handbag for $53.40 on sale" and "It was marked down 40% off the original price", this means that x-0.40x=53.40. Basically, take 40% of 'x' by multiplying 0.40 and 'x' and subtract that from the original amount 'x' to get the left side. This entire left side is equal to the final price 53.40


x-0.40x=53.40 Start with the given equation.


0.60x=53.40 Combine like terms.


x=53.40%2F%280.60%29 Divide both sides by 0.60 to isolate x.


x=89 Divide


So the original price was $89. Now subtract the sale price from the original price to get 89-53.40=35.60, so this means that she saved $35.60


Take note that 40% of 89 is 0.40(89)=35.60 and if you subtract this from 89, you get 89-35.60=53.40 which is the sale price. So our answer is verified.