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Lane Willis
Mathematics
11 December, 03:49
A minus B equals 25 A : b is equivalent 13:8
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Deandre Travis
11 December, 04:12
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So, this includes some good old algebra.
A minus B equals 25 A : b is equivalent 13:8
So, we have a couple things to write out.
The ratio of a to b (a:b) is 13:8
---> this means that 13a = 8b
I would solve for one of the variables. b seems a little bit easier, I guess so I'll solve for that one.
(13/8) a=b
Therefore:
a-b=25
a - (13/8) a=25
(8/8) a - (13/8) a=25
- (5/8) a=25
-a=25 / (5/8)
-a = 25 * (8/5)
a = - 40
Now, it probably wants both a and b solved. So to find b we just substitute in the value for a. Or, more easily, just solve the original equation with a substituted.
a-b=25
-40-b=25
-b=25+40
-b=-65
b=-65
and to check:
13a = 8b
13 (-40) = 8 (-65)
-520=-520
and
a-b=?
-40 - (-65) = 25
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