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Triss [41]
3 years ago
13

A warehouse has three shelves that can hold 8, 12, or 16 skateboards. Each shelf has sections holding the same number of skatebo

ards. what is the greatest number of skateboards that can be put in a section?
Mathematics
1 answer:
Aliun [14]3 years ago
8 0
The greatest number of skateboards that can be stored would be the number that is the highest common factor of 8, 12, and 16

Factors of 8 = 1, 2, 4, 8
Factors of 12 = 1, 2, 3, 4, 6, 12
Factors of 16 = 1, 2, 4, 8, 16

The highest common factor  = 4

Hence, the greatest numbers of skateboard that can be stored in each section is 4 
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How much salt should Ilya add to 810g of water to make 10% solution? How much solution will he make? Ilya should add __g of salt
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Answer:

90 g of water should be added and he will make 900 g of solution.

Step-by-step explanation:

Let x g be the amount of salt Ilya add to 810g of water to make 10% solution. Then 810+x g is the amount of new solution. Thus,

810+x - 100%,

x - 10%.

Mathematically,

\dfrac{810+x}{x}=\dfrac{100}{10},\\ \\10(810+x)=100x,\\ \\8100+10x=100x,\\ \\100x-10x=8100,\\ \\90x=8100,\\ \\x=\dfrac{8100}{90}=90\ g.

So 90 g of water should be added and he will make 810+90=900 g of solution.

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</span>
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