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andrey2020 [161]
3 years ago
15

A Verizon salesman sold $5,750 in sales last week. He made $230 in commission. What percent commission did he make?

Mathematics
1 answer:
Vlad [161]3 years ago
5 0

The answer is: 4%  

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 5750 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 100% equals 5750, so we can write it down as 100%=5750.

4. We know, that x% equals 230 of the output value, so we can write it down as x%=230.

5. Now we have two simple equations:

1) 100%=5750

2) x%=230

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:

100%/x%=5750/230

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 230 is what percent of 5750

100%/x%=5750/230

(100/x)*x=(5750/230)*x       - we multiply both sides of the equation by x

100=25*x       - we divide both sides of the equation by (25) to get x

100/25=x

4=x

x=4

now we have:

230 is 4% of 5750

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A silversmith combined pure silver that cost $33.48 per ounce with 51 oz of a silver alloy that cost $24.35 per ounce. How many
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Answer:

$38.31

Step-by-step explanation:

Given:

Pure silver that cost $33.48 per ounce used to form $24.35 alloy/ounce.

Question asked:

How many ounces of pure silver were used to make an alloy of silver costing $27.87 per ounce?

Solution:

At cost $24.35/ounce, pure silver is mixed = $33.48

At cost $1/ounce, pure silver is mixed = \frac{33.48}{24.35}

At cost $27.87/ounce, pure silver is mixed = \frac{33.48}{24.35}\times 27.87 = \frac{933.08}{24.35}  = 38.31

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9) What 2 numbers have a total of 28 and a difference of 6?<br>​
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Answer:

Sum: 17 + 11 = 28

Difference: 17 - 11 = 6

Step-by-step explanation:

The sum of x and y is 28. In other words, x plus y equals 28 and can be written as equation A:

x + y = 28

The difference between x and y is 6. In other words, x minus y equals 6 and can be written as equation B:

x - y = 6

Now solve equation B for x to get the revised equation B:

x - y = 6

x = 6 + y

Then substitute x in equation A from the revised equation B and then solve for y:

x + y = 28

6 + y + y = 28

6 + 2y = 28

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y = 11

Now we know y is 11. Which means that we can substitute y for 11 in equation A and solve for x:

x + y = 28

x + 11 = 28

X = 17

Summary: The sum of two numbers is 28 and their difference is 6. What are the two numbers? Answer: 17 and 11 as proven here:

Sum: 17 + 11 = 28

Difference: 17 - 11 = 6

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