Mathematics: 10 batches with 24 in each batch, 240 pieces made, 60 pieces sold, what is the fraction of pieces sold

10 batches with 24 in each batch, 240 pieces made, - id102424011300176, PersonPerson13260

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09.01.2020

Part a) The new price is $\$400$

Part b) The percent decrease is 20%

Part c) The percent decrease is 9.375%

Step-by-step explanation:

we know that

The original price of a sofa is $500

This price represent the 100%

Part a) If the sofa price decreased by 20%, what is the new price?

Let

x -----> the new price

we know that

$100\%-20\%=80\%=80/100=0.80$

The new price is equal to the original price multiplied by 0.80

$x=500(0.80)=\$400$

Part b) The company can’t sell the sofa after 3 weeks so they reduce the price to $320. What is the percent decrease?

In this moment the price of sofa is $400

Find the difference between the original price and the new price

$\$400-\$320=\$80$

using proportion

Find out the percent decrease

Let

x ----> the percent decrease

$\frac{400}{100}=\frac{80}{x}\\\\x=100*80/400\\\\x=20\%$

Part c) If the company reduces the price in week 4 to $290, what is the percent decrease?

In this moment the price of sofa is $320

Find the difference between the original price and the new price

$\$320-\$290=\$30$

using proportion

Find out the percent decrease

Let

x ----> the percent decrease

$\frac{320}{100}=\frac{30}{x}\\\\x=100*30/320\\\\x=9.375\%$

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