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Let’s suppose that for the month of December, ESPN’s stock decreased from $88 to $78 per share and NBC’s stock decreased from $48 to $45 per share

Finance Nov 24, 2020

Let’s suppose that for the month of December, ESPN’s stock decreased from $88 to $78 per share and NBC’s stock decreased from $48 to $45 per share. If you invested a total of $20,680 in the stock of these two companies at the beginning of December and then sold their stocks at the end of December for $18,870, then how many shares of each stock did you buy? Show all the necessary work that you need perform to arrive at the answer. The answer should be in the form of a sentence.

Expert Solution

let x = number of ESPN shares purchased

y = number of NBC shares purchased

Total amount tnvested = number of shares * price per share

88x + 48y = 20,680................(1)

at the end of the month total sale value = 18870

so, 78x + 45y = 18870...........(2)

Multiply the Equation 1 with 45 and Equation 2 48

(88*45)x + (48*45y) = (20,680*45)...........(3)

(78*48)x + (45*48y) = (18,870*48)...........(4)

(3) - (4)

3960x + 2160y = 930,600

-3744x - 2160y = - 905,760

216x = 24,840

so x = 24,840 / 216

so number of ESPN shares Purchased (x) = 115

by substituting the value of x in Equation (1)

(88*115) + (48*y) = 20,680

48y = 10560

y = 10560 / 48

Number of NBC shares Purchased = 220

ESPN = one hundred fifteen

NBC = two hundred twenty

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