Answered

Amina sees a discount of 5% on a laptop. She can calculate the amount

she has to pay for the laptop using the expression b – 5/100 b, where b is

the price of the laptop before the discount. If the price after discount is $494, which number from the set {500, 505, 510, 520, 525} is the value of b?

Verified Answer :

form an equation: b-5/100 b=494. 95/100b=494. 494*(100/95)=b b=520

Answer:

The value of b is 520.

Step-by-step explanation:

Here, b represents the price of the laptop,

Since, discount percentage = 5 %,

So, the discount = 5% of b = \(\frac{5b}{100}\)

Thus, the price of laptop after discount = Original price of laptop - Discount

\(=b-\frac{5b}{100}\)

According to the question,

\(b-\frac{5b}{100}=494\)

\(\frac{100b-5b}{100}=494\)

\(\frac{95b}{100}=494\)

\(95b=49400\)

\(b=\frac{49400}{95}=520\)

Hence, the value of b is 520.

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