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lys-0071 [83]
3 years ago
5

What is 1/10 of 6,000

Mathematics
2 answers:
guapka [62]3 years ago
4 0
600 is your answer....
Hoochie [10]3 years ago
3 0
1. We assume, that the number 10 is 100% - because it's the output value of the task. 
<span>2. We assume, that x is the value we are looking for. </span>
<span>3. If 10 is 100%, so we can write it down as 10=100%. </span>
<span>4. We know, that x is 6000% of the output value, so we can write it down as x=6000%. </span>
5. Now we have two simple equations:
1) 10=100%
2) x=6000%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
10/x=100%/6000%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 6000% of 10

10/x=100/6000
<span>(10/x)*x=(100/6000)*x       - </span>we multiply both sides of the equation by x
<span>10=0.0166666666667*x       - </span>we divide both sides of the equation by (0.0166666666667) to get x
<span>10/0.0166666666667=x </span>
<span>600=x </span>
x=600

<span>now we have: </span>
<span>6000% of 10=600</span>
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Given that the jeweler has alloys that are 25% gold, 50% gold, and 82% gold.

As he wants to make 14 grams of an alloy by adding two different alloys that is precisely 75% gold, so one alloy must have a percentage of gold more than 75%.

One alloy is 82% gold and, the second can be chosen between 25% gold, 50% gold, so there are two cases.

Case 1: 82% gold + 50% gold

Let x grams of 82% gold and y  grams of 50% gold added to make x+y=14 grams of 75% gold, so

75% of 14 = 82% of x + 50% of y

\Rightarrow 75/100 \times 14 = 82/100 \times x + 50/100 \times y \\\\

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\Rightarrow 75 \times 14 = 82 \times x + 50 \times (14-x)  \\\\\Rightarrow 75 \times 14 = 82 \times x + 50 \times14-50\times x \\\\\Rightarrow 75 \times 14 = 32 \times x + 50 \times14 \\\\\Rightarrow 32 \times x =75 \times 14 - 50 \times14 \\\\

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Hence, 10.9375 grams of 82% gold and 3.0625  grams of 50% gold added to make 14 grams of 75% gold.

Case 2: 82% gold + 25% gold

Let x grams of 82% gold and y  grams of 25% gold added to make x+y=14 grams of 75% gold, so

75% of 14 = 82% of x + 25% of y

\Rightarrow 75/100 \times 14 = 82/100 \times x + 25/100 \times y \\\\\Rightarrow 75/100 \times 14 = 82/100 \times x + 25/100 \times (14-x) \\\\ \Rightarrow 75 \times 14 = 82 \times x + 25 \times (14-x)  \\\\\Rightarrow 75 \times 14 = 82 \times x + 25 \times14-25\times x \\\\\Rightarrow 75 \times 14 = 57 \times x + 25 \times14 \\\\\Rightarrow 57 \times x =75 \times 14 - 25 \times14 \\\\

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and y = 14-x= 14-12.28=1.72 grams.

Hence, 12.28 grams of 82% gold and 1.72  grams of 50% gold added to make 14 grams of 75% gold.

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