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Anna35 [415]
3 years ago
6

Earl gets a commission of 20% on all sales. He sold $1,580.00 worth of goods. What was the amount of his paycheck?

Mathematics
2 answers:
Anni [7]3 years ago
7 0
The answwer

20%  of <span>$1,580.00 is   X= 1,580 x20/ 100 = $316
</span> 
the amount of his paycheck was <span> $316</span>



NeX [460]3 years ago
4 0

For this case we can make the following rule of three:

100% -----------------> $ 1,580.00

20% -------------------> x

From here, we clear the value of x.

We have then:

x = \frac {20} {100} 1580\\x = 316

From here, you get the amount that Earl earns in commissions.

Answer:

the amount of his paycheck is $ 316


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Let the number be (10 x + y)

Then, 10 x + y = 3 * (x + y) (given)

Or, 10 x + y = 3 x + 3 y

Or, 10 x - 3 x = 3 y - y

Or, 7x = 2 y

Or, x = 2 y / 7 ( Eq. 1)

Also, 10 x + y + 45 = 10 y + x ( given)

Or, 10 x - x = 10 y - y - 45

Or, 9 x = 9 y - 45 ( Eq. 2)

Substituting the value of x from (Eq. 1) in (Eq. 2), we have:

9 * 2 y / 7 = 9 y - 45

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Or, 45 y = 315

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From (Eq. 1),

x = 2 * 7 / 7 = 2

So, the number is 10 x + y = (10 * 2) + 7 = (20 + 7) = 27

Answer

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Sum of the digits = 2 + 7 = 9

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Differentiating with respect to x we get,

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Answer:

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