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garri49 [273]
3 years ago
15

Kim's furniture store is offering a 40% discount on all its armchairs. Using a proportion, find the discount of the price of an

armchair that originally cost $363.00.
Mathematics
1 answer:
nasty-shy [4]3 years ago
5 0

Answer:

217.8 U.S. dollars

Step-by-step explanation:

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If y=8 when x =3, find y when x=45
Art [367]
Let's make things easier by simplifying things.

y = 8 and x = 3 is more likely to be understood as a ratio. So for the rest of the answer, their relationship would be represented as y:x

Thus: y:x = 8:3

The problem would be finding y when x = 45

Let us proceed on using the previous equation and substitute x with 45 which would look like this:

y:45 = 8:3

Ratios can also be expressed as fractions which would make things more understandable and easy to solve. So the new form of our equation would be like this:

y/45 = 8/3

Then we proceed with a cross multiplication where the equation becomes like as what is shown below:

3y = 45 * 8

From there, you can solve it by multiplying 45 and 8 then dividing the product with 3 to get y

3y = 360

y = 120

Another way of looking at the problem, especially problems like these, is to take the whole question or statement as an equation. it would probably look like this:

y = 8 when x = 3 : y = ? when x = 45

This would make you understand what approach you can use to solve the given problem.
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