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serious [3.7K]
3 years ago
14

when 55 is added to a certain number and the sum is divided by 3 , the result is 4 times the original number what is the origina

l number​
Mathematics
1 answer:
gogolik [260]3 years ago
7 0

Answer:

4.99

Step-by-step explanation:

i cant remember how i got 4.99 but can show u how to check

= 55 +<u> 4.99 </u>= 59.99

59.99 divide <u>3</u> = 19.99666667

= 19.99666667 divide 4 (working in reverse as it says 4 times the orig no.)

= 4.99 (was rounded)

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Mrs Wright's paycheck was $ 630

<u>Solution:</u>

Given that,

Mrs Wright spend on food = \frac{2}{9}

Fraction spent on rent = \frac{1}{3}

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Remaining left with her = $ 210

Let the paycheck amount be "n"

Now, we know that, paycheck amount = used amount + left over amount

Here, left over amount = 210

Paycheck amount = 2/9 of paycheck on food + 1/3 of paycheck on rent + 1/4 of remainder on transportation + 210

n=\frac{2}{9} n+\frac{1}{3} n+\frac{1}{4}\left(n-\frac{2}{9} n-\frac{1}{3} n\right)+210

Upon simplifying we get,

n=\frac{2}{9} n+\frac{3}{9} n+\frac{1}{4} n\left(1-\frac{2}{9}-\frac{3}{9}\right)+210

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On simplification, we get

n=\frac{5}{9} n+\frac{1}{4} n \times \frac{4}{9}+210

\mathrm{n}=\frac{5}{9} \mathrm{n}+\frac{1}{9} \mathrm{n}+210

On adding fractions we get,

\begin{array}{l}{\mathrm{n}=\frac{6}{9} \mathrm{n}+210} \\\\ {\mathrm{n}-\frac{2}{3} \mathrm{n}=210} \\\\ {\frac{1}{3} \mathrm{n}=210} \\\\ {\mathrm{n}=3 \times 210=630}\end{array}

Hence, the paycheck amount is $630

3 0
3 years ago
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