Mathematics, 06.07.2019 04:30 clemsongirl5392

The price of a professional sound system was reduced by 15%. what is the new price, if the original price was d dollars?

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Answer from: srice6

The new price of the professional sound system is 0.85 d dollars.

Step-by-step explanation:

If the original price was d dollars.

Then, the price of a professional sound system was reduced by 15%.

then, we solve the problem as follows:

New price=(original price)-15% of (original price) $=d-\frac{15}{100}\cdot d$

= $\frac{100\cdot d-15 \cdot d}{100}$ = $\frac{85d}{100}$

Therefore, the new price of the sound system is, $\frac{85d}{100}$ dollars or 0.85 d dollars.

Answer from: HopeDied

The original price of professional sound system is $\boxed{\$\ 0.85\text{d}}$ .

Further explanation:

Given:

The original price of sound system is $d\text{ dollars}$ .

The price of professional sound system is reduced by $15\%$ .

The objective is to find the new price of that professional sound system.

Percentage:

Percentage can be written in the ratio that is expressed as a fraction of 100 .

Now, convert $15\%$ into decimals as follows:

$\begin{aligned}15\%&=\dfrac{15}{100}\\&=0.015\end{aligned}$

Let the original price of the sound system be 100 dollars. Now, its price was decreased by $15\%$ .

The amount by which the price is reduced is calculated as follows:

$\dfrac{15}{100}\times100=15$

This implies that the price is reduced by $\$15$ .

Then its new price is calculated as follows:

100-15=85

Given that the original price of the sound system was dollars.

Now, its price was reduced by $15\%$ , means the price of sound system was reduced by $15\%$ of its original price.

The new price is calculated if the reduced price is subtracted from the original price as shown below:

$\begin{aligned}d-0.15d&=d(1-0.15)\\&=0.85d\end{aligned}$

Now convert 0.85d into fractions as follows:

$\boxed{0.85d=\dfrac{85d}{100}}$

Therefore, the new price of professional sound system is $\boxed{\$\ 0.85\text{d}}$ .

Learn more:

1. A problem on numbers

2. A problem on scientific notation of numbers

Answer details:

Grade: Middle school

Subject: Mathematics

Chapter: Percentage

Keywords: Price, professional, sound system, reduced, 15%, new, price, original price, d, dollars, percentage, decreased, decimals.

Answer from: Quest

3: 2

step-by-step explanation:

shorter piece is 2: 3, so just reverse it, and you get 3: 2

Answer from: Quest

hi! i think the answer is 1/2 : )

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