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3 years ago

I really need help, please explain btw.

Mathematics

1 answer:

Stella [2.4K]3 years ago

8 0

It's short in txt messages used as "by the way"

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Each shape is a 1 whole. What fraction greater than 1 names the parts that are shaded.

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Fleece vests regularly priced at $15.99 are on sale for $13.99. If the sales tax is 5%, how much can you save by buying the vest

Marysya12 [62]

Saving of $2.10 is made by buying fleece vest on sale.

<u>Solution:</u>

Given that regular price of fleece vest = $15.99

And sale price of fleece vest = $13.99

Sales tax = 5%

When we buy at regular price, total amount including sales tax which needs to be paid is:

$\mathrm{A}_{\mathrm{R}}$ = 15.99 + 5% of 15.99

$\begin{array}{l}{\mathrm{A}_{\mathrm{R}}=15.99+5 \times \frac{15.99}{100}} \\\\ {\mathrm{A}_{\mathrm{R}}=15.99\left(\frac{105}{100}\right)=15.99 \times 1.05}\end{array}$

When buy at sales price, total amount including sales tax which needs to be paid that is

$\begin{array}{l}{\mathrm{A}_{\mathrm{S}}=13.99+5 \% \text { of } 13.99} \\\\ {\mathrm{A}_{\mathrm{S}}=13.99+5 \times \frac{13.99}{100}} \\\\ {\mathrm{A}_{\mathrm{S}}=13.99\left(1+\frac{5}{100}\right)} \\\\ {\mathrm{A}_{\mathrm{S}}=13.99\left(\frac{105}{100}\right)=13.99 \times 1.05}\end{array}$

$\text { Saving made }=\mathrm{A}_{\mathrm{R}}-\mathrm{A}_{\mathrm{S}}$

$\begin{array}{l}{=(15.99 \times 1.05)-(13.99 \times 1.05)} \\\\ {=1.05(15.99-13.99)} \\\\ {=1.05 \times 2=\$ 2.10}\end{array}$

Hence saving of $2.10 is made by buying fleece vest on sale.

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