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mylen [45]
3 years ago
10

Emily wins 22000$. She has to pay 10% for charity and then she decides to buy a car for 10800$. She divides the rest of them bet

ween her son and daughter in the ratio 1:4. How much does her daughter get.
Mathematics
1 answer:
devlian [24]3 years ago
4 0

Answer:

$7 200

Step-by-step explanation:

Amount of money paid for charity = \frac{10}{100} × $22 000

                                                         = $2 200

Remaining money left for children = $22 000 - $2 200 - $10 800

                                                         = $9000

Let the amount of money her son receives be x and the amount her daughter gets be 4x.

Son's $ + Daughter's $ = $9000

x + 4x = 9000

5x = 9000

Amount of money her daughter gets (4x) = \frac{4}{5} × 9000

                                                                     = $7 200

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Answer:

The answer is x=-16 ±2\sqrt{3} in exact form or x=-12.535898, x=-19.464102 in decimal form.

Step-by-step explanation:

To solve this problem, start by moving all terms to the left side of the equation and simplify. Simplify the equation by subtracting 12 from both sides of the equation and squaring x+16, which will look like x^{2} +32x+256-12=0. Next, simplify the equation again, which will look like x^{2} +32x+244=0.

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For this problem, the quadratic variables are as follows:

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The next step is to substitute the values a=1, b=32, and c=244 into the quadratic formula and solve. The quadratic formula will look like \frac{-32(+-)\sqrt{32^2-4(1*244)} }{2*1}. To simplify the equation, start by simplifying the numerator, which will look like x=\frac{-32(+-)4\sqrt{3} }{2*1}. Then, multiply 2 by 1 and simplify the equation, which will look like x=-16(+-)2\sqrt{3}. The final answer is x=-16 ±2\sqrt{3} in exact form. In decimal form, the final answer is x=-12.535898, x=-19.464102.  

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