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Lena [83]
2 years ago
13

After a 90% reduction, you purchase a new soft drink machine on sale for $66. What was the original price of the soft drink mach

ine?
The original price was
GEZER
Mathematics
1 answer:
Reptile [31]2 years ago
4 0

Answer:

<u>$660.</u>

Step-by-step explanation:

So when we apply a discount to a product we multiply the price of the product (let's all is x) for the percentage of the discount (let's apply 90% as the probnlem says) so then we have the following operation:

x ⋅ (1-0.9) = y

Variable y is the price at which you bought the product, it's $66, on this case. Therefore, this is the expression we have:

x ⋅ (1-0.9) = $66

Now, to get the original value of the product (x), we solve the equation for x:

x ⋅ (1-0.9) = $66

x= $66 / (1-0.9)

x= $66 / (0.1)

x= <u>$660</u>

<u>• Why did we multiply by 1-0.9?</u>

This is because we were looking for the 10% of the original price, since it's a 90% discount. A simple way to solve the problem would've been to just divide the price by 0.1 (10%), because that's what remains after you discount 90% of the price.

-------------------------------------------------------------------------------------------

A different example would be the following:

<u>What was the original price of a product bought for $48 if it has a 60% discount?</u>

x is original price.

Since a 60% discount was applied, 40% of the price remains at full price. Therefore, we multiply the original price (x) by 40%:

x ⋅ 40%= $48

x= $48 / 40%

x= $48 / 0.4

x= 120

<u>$120 was the original price.</u>

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