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Let's work to help mathematicians.

Question 1

An investor buys a total of 360 shares of two stocks. The price of one stock is $35 per share, while the price of the other stock is $45 per share. The investor spends a total of $15,000. How many shares of each stock did the investor buy?


Posted by:

umwami on 2019-08-09 14:16:19

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Answers:

No answers. Be the first to answer.

Question 2

The sum of two numbers is 27 and their products is 50. Find the numbers


Posted by:

umwami on 2020-03-07 19:19:31

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Answers:

Let the first number be a and the second number be b, then a+b=27 and ab=50. A second degree equation can be written as x^2-Sx+P=0 where S is the sum and P is the product of two roots. So here we can write x^2-27x+50=0. Using quadratic formula, the first root of this equation is given by x=[-(-27)+sqrt((-27)^2-4*1*50)]/2=(27+23)/2=25. The second root is x=[-(-27)-sqrt((-27)^2-4*1*50)]/2=(27-23)/2=2. Thus the two numbers are 2 and 25.

Posted by:

paci on 2020-04-02 11:13:17

Question 3

If twice the age of the son is added to the age of the father the sum is 56. But, if twice the age of the father is added to the age of the son the sum is 82. Find the age of the son and the age of the father.


Posted by:

payton on 2020-04-02 09:30:52

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Answers:

Let x be the age of the son and y be the age of the father. Then 2x+y=56 and x+2y=82. We solve simultaneously the two equations: {2x+y=56,x+2y=82}. From first equation y=56-2x. Putting this into equation 2 gives: x+2(56-2x)=82 or x+112-4x=82 or -3x=-30 or x=10. Then y=56-20=36. Thus, the son is 10 years old and father is 36 years old.

Posted by:

paci on 2020-04-02 11:20:11

 

 

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