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?

Jan 7, 2018

1.3 times as much is the same as 130%

Explanation:

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Note that the symbol $\equiv$ 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 $\frac{5}{1}$
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Write $1.3 \text{ as } \frac{1.3}{1}$

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 $\frac{1}{100}$

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

Thus 1.3 times as much is the same as 130%