QR Problem

[Hawk5]

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This is from KBB:

Six people went shopping. Five spent $16 each, the sixth spent $5 more than the average of all six. How much did the last person spend?

A. 20
B. 21
C. 22
D. 23
E. 24


The answer is apparently $22.

 

[casper22]

Here you go,

Let the average be x, so the 6th person spends x+5

Now Average = Total / N

x = (5(16)+x+5)/6

Since 5 people spend 16 each, their total will be 5(16)

Now solve for x,

x = 80+x+5/6
6x = 85+x
x = 17

Remember, the sixth person spend x+5 = 17+5 = 22

 

[Hawk5]

Thanks for the quick response Casper.

 

[Hawk5]

But 5(16) is 80, not 90. Still the right answer and technique though.

 

[casper22]

But 5(16) is 80, not 90. Still the right answer and technique though.

HAHA...my bad...corrected...

the answer still remains the same..