John found a tablet on sale for 25% off. When he went to the

Question

register, he discovered that all electronics were on sale for an
additional 10% off. He wrote this expression to represent the final
cost of the tablet based on the original price, P: Given
Expression (1−0.25)×(1−0.10)x P When John simplifies this
expression, what can he conclude about the sale price of the tablet?
A. The sale price of the tablet is 10% of the original price.
B. The sale price of the tablet is 65% of the original price.
C. The sale price of the tablet is 67.5% of the original price.
D. The sale price of the tablet is 35% of the original price.

Answer 1

To find the final sale price of the tablet based on the expression given by John, we start by simplifying the expression:

\[ (1 - 0.25) \times (1 - 0.10) \times P \]

Calculating each component:

• \(1 - 0.25 = 0.75\) (representing the price after the 25% discount)
• \(1 - 0.10 = 0.90\) (representing the price after the additional 10% discount)

Now, we combine these:

\[ 0.75 \times 0.90 \times P \]

Calculating \(0.75 \times 0.90\):

\[ 0.75 \times 0.90 = 0.675 \]

Thus, we can rewrite the expression as:

\[ 0.675 \times P \]

This means the final sale price of the tablet is 67.5% of the original price \(P\).

So, the correct answer is:

C. The sale price of the tablet is 67.5% of the original price.