If #x# and #a# equals #59#, what is the value of #x# if #a=30%#?

2 Answers
Nov 7, 2017

#x=41.3#

Explanation:

Assuming that #a# is 30% of 59, we would first find out what #a# is by finding 30% of 59, or doing #59*0.3#.
#59*0.3=17.7#
Now we can just do #59-17.7# to find #x#.
#59-17.7=41.3#
#x=41.3#

You can also find #x# by multiplying 59 by 0.7, because you know that #a# is 30% of 59 so #x# must be the other 70%.

Nov 7, 2017

As written #x=58 7/10#
but the question may be interpreted as meaning something different from what was actually written.

Explanation:

If the relation was meant to be #x+a=59# with #a=30%# (as written)
then #a=30/100=3/10#

#x+3/10=59#

#rarr x+3/10color(blue)(-3/10)=59color(blue)(-3/10)#

#rarr x=58 7/10#

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If the relation was meant to be #x+a=59%# (that is the #59# was intended to be a percentage)

#x+30%=59%#

#rarr x+30%color(blue)(-30%)=59%color(blue)(-30%)#

#rarr x=29%#

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Shadow (whose answer currently appears below) seems to have interpreted the relation as something like: #x xx a =59#

#x xx 30% =59#

#rarrx xx 3/10 =59#

#rarrx xx 3/10 color(blue)(xx 10/3)=59color(blue)(xx 10/3)#

#rarrx=590/3=196 2/3#