# SOLUTION: Janette Bought a Share of stock on PRT Corporation. The first week, it increased in value 25%. During the second week, it decreased \$1.40 in value. The next week it doubled in valu

Algebra ->  Algebra  -> Equations -> SOLUTION: Janette Bought a Share of stock on PRT Corporation. The first week, it increased in value 25%. During the second week, it decreased \$1.40 in value. The next week it doubled in valu      Log On

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 Click here to see ALL problems on Equations Question 60259This question is from textbook Pre-Algebra : Janette Bought a Share of stock on PRT Corporation. The first week, it increased in value 25%. During the second week, it decreased \$1.40 in value. The next week it doubled in value, so she sold it. She got \$27.20 for it. How much had she paid for it?This question is from textbook Pre-Algebra Found 2 solutions by smik, uma:Answer by smik(40)   (Show Source): You can put this solution on YOUR website!Pretty good question. Since we're trying to find the amount she paid we should start off with giving the Initial Investment a variable letter. So, let's say: I = Initial Investment. Now, we know in the first week 'I' increased in value by 25%. This means that the total value is: . If we factor out 'I' we get: . So, we can write this as: In the second week we know that amount decreases by \$1.40. Hence, we know can subtract the amount during the first week by this value, giving us a total of: In the third and last week the amount doubles, hence we get the following for th total amount: Since Janette withdraws \$27.20 in the end, we can set this equal to the above and solve: (We can expand this) (We can add 2.80 to each side) (We can divide each side by 2.5 to solve for 'I') Hence, we know Janette's initial investment was \$12. Answer by uma(370)   (Show Source): You can put this solution on YOUR website!Let Janette's cost price be \$x During the first week it increased by 25% So cost by the end of 1st week = \$1.25x Decrease during the second week = \$1.4 So cost by the end of 2nd week = \$1.25x - 1.4 Cost at the end of the third week = double the earlier amount = 2(1.25x - 1.4) Given that 2(1.25x - 1.4) = 27.2 ==> (1.25x - 1.4) = 27.2/2 [dividing by 2 throughout] ==> (1.25x - 1.4) = 13.6 ==> 1.25x - 1.4 + 1.4 = 13.6 + 1.4 ==> 1.25x = 15 ==> 1.25x/1.25 = 15/1.25 ==> x = 12 So Janette had paid \$12 for the stock. Good Luck!!!