# Question 6489d

Mar 3, 2017

The question does not state if you require the amount reduced by or the final figure left after the reduction.

65%" of "80=52#

$80 - 52 = 28$

#### Explanation:

$\textcolor{b l u e}{\text{Preamble}}$

There are two things to remember hear.

1: We are talking about a change that is a reduction. So the answer $\text{ }$is a negative value.

2: The symbol % is a bit like units of measurement and that is worth $\text{ } \frac{1}{100}$ So 65%$\to 65 \times \frac{1}{100} = \frac{65}{100}$

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$\textcolor{b l u e}{\text{Answering the question}}$

This is a reduction so the amount it is reduced by is: $\frac{65}{100} \times 80$

There are several paths that can be followed now but they all lead to the same point.

With practice you could some of this in your mind.

Write as $65 \times \frac{80}{100} \text{ "->" } 65 \times \frac{80 \div 10}{100 \div 10} = 65 \times \frac{8}{10}$

$= \frac{65}{100} \times 8 \text{ "=" } 6.5 \times 8$

$6 \times 8 = \text{ } 48$
$\frac{1}{2} \times 8 = \text{ "ul(color(white)(.)4)larr" add}$
$\text{ } 52$

But this a reduction so the answer to this part is: $- 52$
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