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timofeeve [1]
3 years ago
6

A health insurance payment of $34.55 was deducted from ms. Donaldson's earnings for the week. After the insurance deduction, pay

roll taxes equal to 28% of the balance were deducted. What was the amount that Ms. Donaldson received?
Mathematics
1 answer:
leonid [27]3 years ago
6 0
I think that this quesion is missing some background, that is that Ms. Donaldson earned 907.10

So the 34.55 were deduced from this number, and the remaining amount was:

907.10-34.55=872.65

After this, further 28% were deduced, which means that 100-28=72% were left.

And this is:72%*872.55= 628.236 (which we round to 628.24!)

 
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The two numbers are 23 and 49.

_____

The reason we wrote the solution this way is to show you that the smaller number is half the difference between the given sum (72) and difference (26). This is the generic solution to a "sum and difference" problem. The smaller number is always half the difference of the give sum and difference. (Similarly, the larger is always half the sum of the given sum and difference.)

That is, the two numbers are always half the sum ± half the difference:

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