SOLUTION: I have been trying to write the equation for this problem for a week or two now, and it just won't translate in my head. Even if I do try to write it out the answers I get aren't t
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Question 826621: I have been trying to write the equation for this problem for a week or two now, and it just won't translate in my head. Even if I do try to write it out the answers I get aren't the right ones. If you could help me that would be great.
The sum of two numbers is 48. If one third of one number is 5 greater than one sixth of another number, which of the following is the smaller number? Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! Let the two numbers be a and b
:
The sum of two numbers is 48.
a + b = 48
;
If one third of one number is 5 greater than one sixth of another number, a = b + 5
multiply both sides by 6, cancel the fractions
2a = b + 30
2a - b = 30
:
use elimination to solve this
a + b = 48
2a - b =30
-------------Addition eliminates b, find a
3a = 78
a =
a = 26
then
26 + b = 48
b = 48 - 26
b = 22
which of the following is the smaller number? you can do this
