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Liz owns stock in Nar Heating/Cooling and Cilla Shipping. She owns 120 more shares of Cilla Shipping than she does of Nar Heating/Cooling. Nar Heating/Cooling pays a yearly dividend of $5.78 per share, and Cilla Shipping pays a yearly dividend of $4.15 per share. If Liz receives $1630.02 in dividends annually, how many shares of Nar Heating/Cooling does she own? a. 196 shares b. 114 shares c. 348 shares d. 282 shares

Respuesta :

EstelleEstelle

If Liz owns stock in Nar Heating/Cooling and Cilla Shipping, she would have 114 shares.

Final Answer: Option B. or 114 shares is correct.

Hope I could help! :)

Answer:

number of shares of Nar Heating/Cooling that Liz has is 114

correct option is b. 114 shares

Explanation:

given data

Liz own =  120 shares more

Nar yearly dividend = $5.78 per share

Cilla yearly dividend = $4.15 per share

Liz receives dividends annually =  $1630.02

solution

we consider here number of shares in Nar = x and number of shares in Cilla is = y

so y = x + 120 .......................1

Liz receives $1630.02 so it we will express as

1630.02 = 5.78x + 4.15y ..............2

so from equation 1 and 2 we get we put y value in equation 2

1630.02 = 5.78x + 4.15(x + 120)

1630.02 = 5.78x + 4.15x + 498

1630.02 = 9.93x + 498

x = 114

so number of shares of Nar Heating/Cooling that Liz has is 114

correct option is b. 114 shares

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