Caryn and Alfonso bought school supplies. Caryn spent 130% of the amount Alfonso spent. She said that she spent 1.3 times the amount that Alfonso spent. Is Caryn correct?

1 Answer
Jan 7, 2018

Answer:

1.3 times as much is the same as 130%

Explanation:

#color(blue)("Introduction")#

Note that the symbol #-=# means 'equivalent to'.

As an example of concept consider the measurement or count of 5

Although not normally done this may, if you so choose, be written as #5/1 #
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
#color(blue)("Answering the question")#

Write #1.3" as "1.3/1#

Multiply by 1 and you do not change a value

#color(green)(1.3/1-= 1.3/1color(red)(xx1)#

#color(green)(1.3/1-= 1.3/1color(red)(xx100/100)#

#color(green)(1.3/1-= 130/100#

Note that % is a unit of measurment that is worth #1/100#

#130/100=130xx1/100 -=130xx%=130%#

Thus 1.3 times as much is the same as 130%