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The ratio of Geoff’s allowance to Ken’s allowance is 7:11.
If Ken gives Geoff $84, they will have the same amount of money.
How much do they have altogether?
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Ken's allowance 11x dollars;
Geoff's allowance is 7x dollars.
Had Ken give Geoff $84, the two quantities would be equal
11x - 84 = 4x + 84.
It is the basic equation for the problem to setup.
Now we should solve it.
11x - 4x = 84 + 84
7x = 168
x = 168/7 = 24 dollars.
Altogether, they have 11x + 7x = 11*24 + 7*24 = 432 dollars and zero cents. ANSWER
Solved.
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To see many other similar (and different) solved problems of this kind, look into the lesson
- Virtual exchange between two persons
in this site.