A box of laundry detergent is on sale for $6.50. If price represents a 40% discount from the original price, what is the original price to the nearest cent?

Respuesta :

The original price of detergent is $10.83

Step-by-step explanation:

Given,

Price of detergent after discount = $6.50

It represents 40% discount from the original price.

Therefore,

60% of total value is $6.50

Let,

x represent the total value.

60% of x = $6.50

[tex]\frac{60}{100}x=6.50\\0.6x=6.50[/tex]

Dividing both sides by 0.6

[tex]\frac{0.6x}{0.6}=\frac{6.50}{0.6}\\x=10.83[/tex]

The original price of detergent is $10.83

Keywords: variable, division

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