Toni, Bianca, and Gemma have three consecutive whole numbers of dollars. The total amount of money they have is $66. How much money does each person have?

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Answer 1 · 2017-06-17T15:21:02

#21, 22, 23#

The three persons have consecutive whole numbers of dollars which add up to #$66#.

Let Toni have #x# dollars. Then Bianca has #(x+1)# dollars and Gemma has

#((x+1)+1)=(x+2)#

dollars. Note: As they have consecutive dollars, we add #1# dollar to the previous person's amount.

The sum of the dollars #= $66#

Thus,

#x+(x+1)+(x+2) = 66#

or,

#3x+3 = 66#

(Note: we got #3x# by adding all #x# and #3# by adding #2# and #1#)

So

#3x = 66-3 = 63#

or

#x = 63/3 = 21#

Therefore

#x+1 = 21+1 = 22#

and

#x+2 = 21+2 = 23#