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dalvyx [7]
3 years ago
7

A sofa is on sale for $258.40 which is 34%of the regular price. What was the regular price?

Mathematics
1 answer:
Airida [17]3 years ago
8 0

Answer:

$391.52

Step-by-step explanation:

The original price was 100% of the original price.

Since it was sold at 34% off, then since 100% - 34% = 66%, it was sold for 66% of the original price.

Let the original price = x.

66% of x = $258.40

0.66x = 258.4

x = 258.4/0.66

x = 391.52

Answer: $391.52

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Mrs. Cleaver mixes 1.24 liters of red paint with 3 times as much blue paint to make purple paint. She pours the paint equally in
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The amount of blue paint in each container is \fbox{\begin\\\ 0.744 liters \end{minispace}}.

Further explanation:

The mixture mixed by Mrs. Cleaver contains 1.24 litres of red paint with 3 times blue paint to obtain purple paint.

So, the amount of blue paint is calculated as,

{3} \times {1.24}=3.72 \text { liters}

Therefore, the total amount of paint mixture is the sum of blue paint and red paint.

\fbox{\begin \\\begin{aligned} \text{Total paint}= 1.24+3.72\\=4.96 \text{ liters}\\\end{aligned}\\\end{minispace}}

Now, as Mrs. Cleaver divides the paint mixture equally in 5 containers so the amount of paint in one container is calculated as,

\boxed{\begin{aligned}\text{Amount of paint in one container}&= \dfrac{4.96}{5}\\ &=0.992 \text{ liters} \end {aligned}}

Since amount of blue paint mixed is three times the red paint so the fraction of blue paint to the total paint is \dfrac{3}{4}.  

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\boxed{\begin{aligned}\text{Blue paint in one container} =\dfrac{3}{4} \times 0.992\\=0.248 \text{ liters}\end{aligned}}

Thus, the amount of blue paint in each of the five containers is \fbox{\begin\\\ 0.744 liters \end{minispace}}.

Learn more:  

1. To solve one variable linear equation brainly.com/question/1682776

2. Linear equation application brainly.com/question/2479097

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Answer details  

Grade: Middle school  

Subject: Mathematics  

Chapter: Mixtures and ratios

Keywords: mixture, paint, red paint, blue paint, Mrs. Cleaver, purple paint, fraction, each container, five containers, divides, times, equally divide, mixes, liters.

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3 years ago
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Answer:

x = 55

Step-by-step explanation:

\frac{x}{5}  - 7 = 4 \\  =  > \frac{x}{5}  = 4 + 7 \\  =  >  \frac{x}{5}  = 11 \\  =  >  x = 11 \times 5 \\  =  > x = 55

Hope it helps.

Don't forget to click the Brainliest button if you like my answer.

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