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
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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.
.
x is 25% of y.
so
x = .25*y
.
Obviously, the larger number is 'y'.
.
The larger number is 12 more than the smaller number.
.
y = x+12
.
substitute x = .25*y
.
y = .25y + 12
.
.75y = 12
.
y = 12/.75
.
y = 16
.
y = x+12
.
x = y-12
.
x = 16-12
.
x = 4
.
Always check your solution.
.
Is x 25% of y?
Yes, 4 is 1/4 of 16.
.
Is y 12 more than x?
Yes, 16 is 12 more than 4.
.
Answer: The two numbers are 4 and 16.
.
Done.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Let a = "one number
Let b = "another number
:
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
:
(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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