Four students share $100. Al and Bob get 1/10 and 1/5 of the total respectively. Carl gets the average of what Al and Bob got. Dave gets the rest. how much, in dollars , did Dave get?

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Four students share $100. Al and Bob get 1/10 and 1/5 of the total respectively. Carl gets the average of what Al and Bob got. Dave gets the rest. how much, in dollars , did Dave get?

Mathematics
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first, you know Dave gets the rest, that's [1-(what the other three get)] times 100
we have what Al and Bob get. what Carl gets is their average which is: \[{1/10 + 1/5 \over 2} = {3/10 \over 2}=3/20\]
just add what the three get: 3/20+1/10+1/5=0.45. finally, Dave share is 1-0.45=0.55.. in dollars, he gets 0.55*100= $55

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there is an easier way to solve it, if you think this way it a bit complicated.
thank you :) !
you're welcome :)

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