SOLUTION: Suppose Wal-Mart stock is selling at $59 a share,and Mattel stock is selling at 28 a share. Amy has a maximum of $6000 to invest. she wishes to purchase four times as many shares o

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Question 324274: Suppose Wal-Mart stock is selling at $59 a share,and Mattel stock is selling at 28 a share. Amy has a maximum of $6000 to invest. she wishes to purchase four times as many shares of Wal-Mart as Mattel. Only whole shares of stock can be purchased.
A) how many shares of each will she purchase?
B) how much money will be left over.
I have tried figuring it out but can not.
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
Wal-Mart stock $59 a share,
Mattel stock 28 a share.
Amy has a maximum of $6000 to invest.
she wishes to purchase four times as many shares of Wal-Mart as Mattel
..
let Mattel shares she buys be x
Mattel stock 28 a share.
Wal-Mart will be 4x
Wal-Mart stock $59 a share,
Amount invested = $ 6000
..
28x+59*4x<6000
28x+236x<6000
264x< 6000
x< 6000/264
x<22.4
So she buys 22 shares of Mattel
Wal-Mart will be 4x = 4*22=88 shares
88*59 +22*28= 5808
6000-5808=192
She has $192 balance after buying 22 shares of Mattel & 88 shares of Wal-Mart.
CHECK
IN the balance $192 she cannot buy 1 share of Mattel & 4 shares of Wal-Mart which will cost 59*4 +28*1=$264