SOLUTION: I can not for the life of me figure out how to translate this problem into an equation. Please I need some desperate help.
One number is 25% of another. The larger number is 12
Question 517508: I can not for the life of me figure out how to translate this problem into an equation. Please I need some desperate help.
One number is 25% of another. The larger number is 12 more than the smaller number. What are the numbers? Found 2 solutions by oberobic, ankor@dixie-net.com:Answer by oberobic(2304) (Show Source):
You can put this solution on YOUR website! There are two numbers: x and y.
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x is 25% of y.
so
x = .25*y
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Obviously, the larger number is 'y'.
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The larger number is 12 more than the smaller number.
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y = x+12
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substitute x = .25*y
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y = .25y + 12
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.75y = 12
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y = 12/.75
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y = 16
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y = x+12
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x = y-12
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x = 16-12
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x = 4
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Always check your solution.
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Is x 25% of y?
Yes, 4 is 1/4 of 16.
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Is y 12 more than x?
Yes, 16 is 12 more than 4.
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Answer: The two numbers are 4 and 16.
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Done.
You can put this solution on YOUR website! Let a = "one number
Let b = "another number
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Write an equation for each statement:
:
"One number is 25% of another.
a = .25b, (obviously, a is the smaller number)
:
"The larger number is 12 more than the smaller number.
b = a + 12
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(FRom the 1st statement,) replace a with .25b, in the above equation
b = .25b + 12
b - .25b = 12
.75b = 12
b = 12/.75
b = 16
then
a = .25(16)
a = 4
:
Check this in the 2nd statement
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