Question #2dc91

2 Answers
Pallu
Feb 1, 2018

The third person will have to pay 1/6 of the cost.

Explanation:

Let the total cost be #x#
One of the three agrees to pay #1/2 x#, and other agrees to pay #1/3x#
So, the amount remaining to be payed will be:

#x- 1/2x-1/3x#

Equating the denominators:

#= x (6/6) - 1/2 (3/3) x - 1/3 (2/2) x#

#= (6x - 3x - 2x)/6#

#= x/6#

So, the third person will have to pay 1/6 of the cost.

Jim G.
Feb 1, 2018

#1/6#

Explanation:

#"the total cost can be represented by "1#

#"adding the fractions "1/2+1/3#

#"the "color(blue)"lowest common multiple "" of 2 and 3 is 6"#

#rArr1/2+1/3=(1/2xx3/3)+(1/3xx2/2)=3/6+2/6=5/6#

#"third person has to pay "1-5/6=6/6-5/6=1/6#

#"third person pays "1/6" of the cost"#

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