Rachel buys a new television that is on sale for 15% off. She also gets a 5% discount on the sale price plus a $50 mail-in rebate. If the initial price of the television is $3,000, what is the final amount Rachel will pay?

Question

mathmale · Answer

Alex:  What does "15% off" mean to you?  Have you ever gone into a store and purchases something at 20% off?  How would you calculate the sale price?

anonymous · Answer

Divided and I got 15000, and then added 50 and got 15050 but that's not on the answer choices?

mathmale · Answer

Alex, it'd help me and it'd help you if you's please answer my questions; they were intended to help you get on track.

anonymous · Answer

Well don't you dividde 3000 and .20.. I said that.

mathstudent55 · Answer

To find a percent of a number, _multiply_ that percent by the number.
First, find 15% of $3000.

mathstudent55 · Answer

@alexDelicruze Are you still there?

anonymous · Answer

Yes. 450

mathstudent55 · Answer

Correct.
Since it's a discount, subtract 450 from 3000.
What do you get?

anonymous · Answer

Initial price is $p_i$.  Final price is $p_f$. $$
p_f = p_i\times (1-15\%)\times (1-5\%) - \$50
$$Well it says that $p_i = \$3,000$ so... $$
p_f = \$3,000\times (1-15\%)\times (1-5\%) - \$50
$$

anonymous · Answer

2550

mathstudent55 · Answer

Correct.
Now there is a 5% discount on the sale price.
Find 5% of $2550.

anonymous · Answer

1275

mathstudent55 · Answer

Be careful. 5% = 0.05, not 0.50

anonymous · Answer

127.5

mathstudent55 · Answer

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