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makvit [3.9K]
3 years ago
9

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
1 answer:
iren [92.7K]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
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Answer:

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Step-by-step explanation:

Given:

Cost of bicycle = $175

Cost of Helmet = $17

Percent of total cost of Jim = 160% of original cost of Stefan

We need to find the Amount Stefan spend originally and money he made by selling the bicycle and helmet to Jim.

Solution:

Let the Amount Stefan spend originally be 'x'.

Total Cost of Jim is equal to sum of Cost of bicycle and Cost of Helmet.

framing in equation form we get;

Total Cost of Jim = 175+17 =\$192

Now we know that;

Total Cost of Jim is equal to 160% of  Amount Stefan spend originally.

framing in equation form we get;

192 = \frac{160}{100}\times x\\\\192 =1.6x

Dividing both side by 1.6 we get;

\frac{192}{1.6}=\frac{1.6x}{1.6}\\\\x= \$120

Hence Stefan spend $120 originally.

Now we can say that;

Money Stefan made is equal to Money Stefan spend originally minus Total Cost of Jim.

framing in equation form we get;

Money Stefan made = 192-120 =\$72

Hence Stefan made $72 by selling bicycle and helmet to Jim.

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