18 is what percent of 40?
45 is 15% of what number
16% of what number is 20
what is 57% of 240
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OpenStudy (anonymous):
@mathstudent55
OpenStudy (anonymous):
I think the first one is 45%
OpenStudy (mathstudent55):
Let's deal with
"18 is what percent of 40?"
first
OpenStudy (anonymous):
do you know the is over of method?
OpenStudy (mathstudent55):
Percent is a ratio.
The entire amount is 100%
That is 45.
You want to know what percent is 18 out of 45.
Set up a proportion:
\(\dfrac{18}{45} = \dfrac{x}{100} \)
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OpenStudy (anonymous):
cross multiply
OpenStudy (anonymous):
18 x 100 is?
OpenStudy (mathstudent55):
Now you can solve the proportion by cross multipying:
\(45x = 18 \cdot 100\)
\(45x = 1800\)
x = 40
Answer: 40%
OpenStudy (anonymous):
no 40
OpenStudy (anonymous):
not 45
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OpenStudy (mathstudent55):
Wait, I just realize I used 45 instead of 40.
Let me do it again.
OpenStudy (anonymous):
so write this down: 18/40 = x/100
OpenStudy (mathstudent55):
Percent is a ratio.
The entire amount is 100%; that is 40.
You want to know what percent is 18 out of 40.
Set up a proportion:
\(\dfrac{18}{40} = \dfrac{x}{100} \)
OpenStudy (anonymous):
|dw:1424455708857:dw|
OpenStudy (anonymous):
It equals 45%
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OpenStudy (mathstudent55):
40x = 18*100
40x = 1800
x = 45
Answer: 45%
@mjperez18 You were correct.
OpenStudy (anonymous):
what is 18 x 100
OpenStudy (mathstudent55):
Ready for the second one?
OpenStudy (anonymous):
Okay on to the next one
OpenStudy (mathstudent55):
45 is 15% of what number
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OpenStudy (anonymous):
the next one is a little bit different but still can use a proportion
OpenStudy (anonymous):
45 is 15% of what number
OpenStudy (mathstudent55):
Now 45 is the part, and is also15%.
The entire number is x, unknown, and is also 100%.
OpenStudy (anonymous):
45 = 15
x = 100
OpenStudy (anonymous):
okay
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OpenStudy (anonymous):
now cross multiply
OpenStudy (anonymous):
45 x 100 =?
OpenStudy (mathstudent55):
We set up a new proportion.
\(\dfrac{45}{x} = \dfrac{15}{100} \)
OpenStudy (anonymous):
3? or something to do with the number 3
OpenStudy (anonymous):
lets just start with 45 x 100
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OpenStudy (anonymous):
300
OpenStudy (anonymous):
45 x 100 = 4500
OpenStudy (mathstudent55):
Again, cross multiply and solve for x.
15x = 45 * 100
15x = 4500
x = 300
OpenStudy (anonymous):
15 times x = 15x
OpenStudy (mathstudent55):
Correct. Answer is 300.
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OpenStudy (anonymous):
Correct
OpenStudy (anonymous):
okay 16%of what number is 20
OpenStudy (anonymous):
@mathstudent55
OpenStudy (mathstudent55):
The third problem is just like the second one.
OpenStudy (anonymous):
okay so 20/x 16/100
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OpenStudy (anonymous):
remember this ( is/ of = x/100
OpenStudy (mathstudent55):
16% of what number is 20
The unknown is the entire number, or 100%.
The known is that 15% is the part and is 20
OpenStudy (mathstudent55):
\(\dfrac{20}{x} = \dfrac{16}{100} \)
OpenStudy (mathstudent55):
16x = 20 * 100
16x = 2000
x = 125
OpenStudy (anonymous):
125?
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OpenStudy (mathstudent55):
@mjperez18
Your proportion and answer are correct.
OpenStudy (anonymous):
and the next is like the other 2
OpenStudy (mathstudent55):
Last one:
"what is 57% of 240"
This problem is different from all other three above, but it's the easiest percent problem there is.
OpenStudy (anonymous):
ok
OpenStudy (mathstudent55):
To find a percent of a number, just multiply the percent (written as a decimal) by the number.
57% is the same as 0.57
57% of 24 is the same as
0.57 * 240
All you need to do is that simple multiplication.
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OpenStudy (mathstudent55):
^i meant 240 above not 24.
OpenStudy (anonymous):
13.68
OpenStudy (anonymous):
percent
OpenStudy (mathstudent55):
Correct.
You did great!
OpenStudy (mathstudent55):
Do you still want to work on the problem of turning $750 into $1000 in 8 years, and how much the simple interest rate must be?
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OpenStudy (anonymous):
yes please
OpenStudy (mathstudent55):
Ok. Can you please start a new post with just that question. I'll look for it, and I'll go there and will help you.
OpenStudy (anonymous):
I thought it was 950
OpenStudy (mathstudent55):
950?
The question is asking for an interest rate in percent.
OpenStudy (anonymous):
well I have limited time so can we just complete the question here