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?

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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?

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Answer 1 · 2018-01-07T17:18:53

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%

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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

Explanation:

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