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3 years ago

THANKS IF YOU ANSWER,

Mathematics

1 answer:

Yakvenalex [24]3 years ago

4 0

ANSWER: 114ft^2

Area of cabinets = (4*2)+(4*2) = 16ft^2

Area of kitchen = (10*13) = 130ft^2

Subtract area of the cabinets from total area

130ft^2 - 16ft^2 = 114ft^2

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<h3>Further explanation</h3>

<u>Given:</u>

Abbie spent ⁵/₈ of her money and saved the rest.

She spent $45.

<u>Question:</u>

How much money did she have at first?

<u>The Process:</u>

The meaning of "Abbie spent ⁵/₈ of her money" is that she has spent 5 of the 8 parts of the money she had at first.

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$\boxed{\cdot}\boxed{\cdot}\boxed{\cdot}\boxed{\cdot}\boxed{\cdot}\boxed{\cdot}\boxed{\cdot}\boxed{\cdot}$

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$\boxed{ \ 1 \ unit = \$ 9 \ }$

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$\boxed{ \ 8 \times \$ 9 = \$ 72 \ }$

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The complete pattern of Abbie's initial money is as follows:

$\boxed{\$ 9}\boxed{\$ 9}\boxed{\$ 9}\boxed{\$ 9}\boxed{\$ 9}\boxed{\$ 9}\boxed{\$ 9}\boxed{\$ 9} = \$ 72$

- - - - - - - - - -

<u>Quick Steps:</u>

Let M as Abbie's initial money.

$\boxed{ \ \frac{5}{8} \times M = \$ 45 \ }$

Both sides are multiplied by ⁸/₅ so that M is the subject alone on the left side.

$\boxed{ \ M = \frac{8}{5} \times \$ 45 \ }$

We crossed out 5 and 45.

$\boxed{ \ M = 8 \times \$ 9 \ }$

$\boxed{ \ M = \$ 72 \ }$

Thus, the money Abbie had at first is $72.

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