If a is 50% larger than c and b is 25% larger than c, then a is what percent larger than b?

1 Answer
Alan P.
Jun 22, 2016

#a# is #20%# larger than #b#

Explanation:

If #a# is #50%# larger than #c#
#color(white)("XXX")a=150%xxc=3/2c#
#color(white)("XXX")rarr color(red)(c=2/3 a)#

If #b# is #25%# bigger than #c#
#color(white)("XXX")b=120%xxc= 5/4c#
#color(white)("XXX")rarrcolor(blue)( c=4/5b)#

Therefore
#color(white)("XXX")color(red)(2/3a)=color(blue)(4/5b)#

#color(white)("XXXX")a=12/10b#
#color(white)("XXXX")= b+2/10b#
#color(white)("XXXX") = b + (20%xxb)#

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