answer:
A) To find the ratio of Chermaine's allowance to Winston's allowance, we can compare the given values.
Given: Winston's allowance is 13/5 of Chermaine's allowance.
The ratio can be expressed as Chermaine's allowance : Winston's allowance.
Since Winston's allowance is 13/5 of Chermaine's allowance, the ratio is 5:13.
B) If Winston gives $48 of his allowance to Chermaine, they will both have the same amount of allowance. We can set up an equation to solve for Winston's allowance.
Let's assume Winston's original allowance is represented by W.
After giving $48 to Chermaine, Winston's new allowance becomes W - 48.
Chermaine's new allowance becomes Chermaine's original allowance + $48.
Since they both have the same allowance after this transaction, we can set up the equation:
W - 48 = Chermaine's original allowance + $48
To simplify the equation, we need to express Chermaine's original allowance in terms of Winston's original allowance.
Given: Winston's allowance is 13/5 of Chermaine's allowance.
Chermaine's original allowance = (5/13) * Winston's original allowance
Substituting this into the equation:
W - 48 = (5/13)W + $48
Now we can solve for Winston's allowance, W:
W - (5/13)W = 48 + 48
(13/13 - 5/13)W = 96
(8/13)W = 96
To isolate W, we can multiply both sides of the equation by (13/8):
W = (96 * 13) / 8
W = 156
Therefore, Winston's original allowance is $156.
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