If Hailey buys 10 shirts at 10% off and each shirt costs s dollars, which expression is NOT equivalent to the situation?

Question

Responses
A 9s9s
B 10s − 0.10(10s)10s − 0.10(10s)
C 10s − 0.10s10s − 0.10s
D 10s − 1s

Answer 1

To find the expression that is NOT equivalent to the situation where Hailey buys 10 shirts at 10% off, we can start by calculating the total cost of the shirts after the discount.

1. The original cost for 10 shirts at $s$ dollars each is $10s$.
2. The discount is 10% of $10s$, which is $0.10\times 10s=s$.
3. Therefore, the total cost after the discount is $10s-s=9s$.

Now, we can evaluate the provided responses:

A. $9s$

• This one is equivalent to the total cost after the discount.

B. $10s-0.10(10s)$

• This can be simplified as $10s-s=9s$, which is equivalent.

C. $10s-0.10s$

• This simplifies to $10s-0.1s=9.9s$, which is NOT equivalent since it does not represent the correct discount.

D. $10s-1s$

• This simplifies to $9s$, which is equivalent.

The expression that is NOT equivalent to the situation is:

C: $10s-0.10s$