Rachel Franklin has $19,000 invested in stock A and stock B. Stock A currently s
ID: 2923768 • Letter: R
Question
Rachel Franklin has $19,000 invested in stock A and stock B. Stock A currently sells for $50 a share and stock B sells for $70 a share. If stock B doubles in value and stock A goes up 50%, her stock will be worth $35,500. How many shares of each stock does she own?
Stock A currently sels for S50 a share and stock B sells for $7 a share. If stock B doubles in value nd stock A goes up 50% her stock will be worth S35500. How many shares of each stock does Rachel Franklin has $19 000 nvested in stock A and stock B she uI? Rachel owns 1 shares of stock and | | shares or stock BExplanation / Answer
There are a stocks of A, b stocks of B.
aX+bY = 19000
a*50 + b*70 = 19000.............................1
a*100 + b*105 = 35500.........................2
Subtracting 2 from 2*1 ............... =
35b = 38000-35500 = 2500
b = 2500 / 35 = 71.428 stocks.......subbing in 1 and getting the value of a:
a = 280 stocks
She has 280 stocks of A and 71.428 or 72 stocks of B
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