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adell [148]
3 years ago
13

A store offers a 15% discount on all items in the store during a sale. All store employees get an additional 10% employee discou

nt . In the equation below, C represents the cost of an item for an employee including tax and x represents the original price of the item :
C = 0.765x + 0.06(0.765x)

Chris is an employee at the store he plans to buy a coat during the sale . The price of the coat before the discount is $100. How much will chris pay for the coat during the sale? Remember, do not include the $ symbol
Mathematics
2 answers:
Katarina [22]3 years ago
6 0
0.765 (100) + .06 (.0765 x 100)
76.5  + .06 (76.5)  
76.5 + 4.59 = 81.09    Chris will pay $81.09

A better way ( if you don't care to know the tax just the bottom line of what it will cost) would be to do:

0.765x x 1.06 = 76.5 x 1.06 = $81.09 too.

Why the 1 in front of the .06?  The one includes the price of the coat so you don't have to add the tax on after.
Think about it like this. When you buy something you pay (even with an employee 
discount) for all of it (100%) + the tax (in this case, it's 6%)  So you pay 106% of the cost of the item.  106% = 1.06
Anna11 [10]3 years ago
3 0

Answer:

0.765x x 1.06 = 76.5 x 1.06 = $81.09

Step-by-step explanation:

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<u>Part 1)</u> Use the fact that there are 12 inches in a foot

a) How many inches tall is a 7 foot basketball player?

we know that

1 foot=12 inches

so by proportion

\frac{12}{1} \frac{inches}{foot} =\frac{x}{7} \frac{inches}{feet} \\ \\x=12*7\\ \\x=84\ inches

therefore

<u>the answer Part 1a) is</u>

84\ inches

Part b) If a yard is a 3 feet long, how many inches are in a yard?

we know that

1 yard=3 feet

1 foot=12 inches

so

Convert 3 feet to inches

by proportion

\frac{12}{1} \frac{inches}{foot} =\frac{x}{3} \frac{inches}{feet} \\ \\x=12*3\\ \\x=36\ inches    

therefore

<u>the answer Part 1b) is</u>

36\ inches

<u>Part 2) </u>At the farmer's market two pounds of peaches cost $4.20 How much will five pounds cost?

by proportion

\frac{4.20}{2} \frac{\$}{pounds} =\frac{x}{5} \frac{\$}{pounds} \\ \\2*x=4.2*5\\ \\x=4.2*5/2=\$10.5    

therefore

<u>the answer Part 2) is</u>

\$10.5

<u>Part 3) </u>Janice mother gave her a ten dollars bill to buy five pounds each of bananas and apples at the grocery store. When she got there she found that bananas were 80 c per pound and apples were $1.40 per pound.

Did Janice's mother give her enough money? If so, should she receive any change? If not, how much more money does she need?

 we know that

<u>Find the cost of the bananas</u>

5\ pounds*0.80\frac{\$}{pounds}=\$4

<u>Find the cost of the apples</u>

5\ pounds*1.40\frac{\$}{pounds}=\$7

Sum the cost of the bananas and the cost of the apples

\$4+\$7=\$11

\$11 > \$10------> Janice's mother didn't give her enough money

She needs more money

She needs-------> \$11-\$10=\$1

therefore

<u>the answer part 3) is</u>

She needs  \$1 more


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