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dmitriy555 [2]
4 years ago
5

At a certain factory, 10 percent of the staplers produced on monday were defective and 2 percent of the nondefective staplers we

re rejected by mistake. if 90 of the nondefective staplers were rejected, what was the number of staplers produced that day?
Mathematics
1 answer:
zhuklara [117]4 years ago
6 0

Because 12% of the staplers were defective or considered defective, we simply find 12% of a number that is equvalent to 90:

0.12x = 90

x = 750

750 staplers were produced

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      x - 2y + z = 5   | *2
 ⇒ 2x - 4y+ 2z=10
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--------------------------------
    2x+3x - 4y+3y+2z-2z=10-6
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    3x + 3y - 2z = - 6   | *3         ⇒ 9x + 9y - 6z = - 18
    2x - y + 3z = 11     | *2         ⇒ 4x - 2y + 6z= 22       I sum up these
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I write (1) and (2)
5x - y = 4   | *7
35x - 7y= 28
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x= 32/48=4/6 ( 32:8=4, 48:8=6)
x= 2/3
5x-y=4, 
5*2/3-y=4
y=10/3 -4=10/3-12/3=-2/3
⇒ y= - 2/3
x - 2y + z = 5
2/3 - 2*(-2/3)+z=5
2/3+4/3+z=5
6/3+z=5
2+z=5
z=3
x+y+z=2/3-2/3+3=3

x+y+z=3







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