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Ratling [72]
3 years ago
5

16 is 10% of what number

Mathematics
2 answers:
marusya05 [52]3 years ago
6 0

let's say is 16% of "x", meaning "x" is the 100%.

we know "x" is 100% and 16% of it is 10, so

\bf \begin{array}{ccll} amount&\%\\ \cline{1-2} x&100\\ 16&10 \end{array}\implies \cfrac{x}{16}=\cfrac{100}{10}\implies \cfrac{x}{16}=10\implies x = 160

Nikolay [14]3 years ago
6 0

Answer:

<h2>160</h2>

Step-by-step explanation:

\bold{METHOD\ 1:}\\\\\begin{array}{cccc}16&-&10\%&\text{multiply both sides by 10}\\\\(16)(10)&-&(10\%)(10)\\\\160&-&100\%\end{array}

\bold{METHOD\ 2:}\\\\\begin{array}{ccc}10\%&-&16\\\\100\%&-&x\end{array}\qquad\text{cross multiply}\\\\\\(10)(x)=(100)(16)\\\\10x=1600\qquad\text{divide both sides by 10}\\\\\dfrac{10x}{10}=\dfrac{1600}{10}\\\\x=160

\bold{METHOD\ 3:}\\\\x-\text{number}\\\\p\%=\dfrac{p}{100}\to10\%=\dfrac{10}{100}=\dfrac{1}{10}=0.1\\\\10\%\ of\ x\ is\ equal\ 16:\\\\0.1x=16\qquad\text{divide both sides by 0.1}\\\\\dfrac{0.1x}{0.1}=\dfrac{16}{0.1}\\\\x=\dfrac{16\cdot10}{0.1\cdot10}\\\\x=\dfrac{160}{1}\\\\x=160

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andrew11 [14]

Answer:

A. x+y=6...(1)

20x+15y=100...(2)

B. Yes, Pablo can buy 2 pair of pants and 4 shirts.

Step-by-step explanation:

A. Let x be the number of pairs of pants and y be the number of shirts.

We have been given that Pablo wants to purchase 6 additional clothing pieces for his wardrobe. We can represent this information as:

x+y=6...(1)

We are also told that each pair of pants costs $20 and each shirt costs $15. So the cost of x pairs of pants will be 20x and cost of y shirts will be 15y.  

As Pablo wants to spend $100 on clothing, so we can represent this information as:

20x+15y=100...(2)

Therefore, the system of equation representing the given situation will be:

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20x+15y=100...(2)

B. To find if Pablo can buy 2 pair of pants and 4 shirts we will substitute x=2 and y=4 in our both equations.

2+4=6

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We can see that x=2 and y=4 satisfies our both equation, therefore, Pablo can buy 2 pair of pants and 4 shirts.

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