Question

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?

Answer 1

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%