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

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) (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 . 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

Start with the given equation.

Combine like terms.

Divide both sides by 0.60 to isolate x.

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.
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