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1. When Ehsan was preparing to make a tape from some of his favourite songs, he noticed that the Hadi's song was 1 minute longer than Bonna's song and Niaj;s song was 1 minute less than twice as long as Bonna's song. If the total time for these three songs is 12 minutes, how long is Niaj's song?
- A. 3 minutes
- B. 3 minutes
- C. 3 minutes
- D. 3 minutes
Answer: Option C
Explanation:
Let "B" represent the length of Bonna's song in minutes.
Hadi's song is 1 minute longer than Bonna's, so it's (B + 1) minutes long.
Niaj's song is 1 minute less than twice as long as Bonna's, so it's (2B - 1) minutes long.
We're given that the total time for these three songs is 12 minutes. So, we can set up the equation:
B + (B + 1) + (2B - 1) = 12
Now, let's solve for B:
B + B + 1 + 2B - 1 = 12
Combine like terms:
4B = 12
Divide by 4:
B = 3
Now that we've found the length of Bonna's song (B = 3 minutes), we can find the length of Niaj's song, which is 2B - 1:
Niaj's song = 2B - 1 = 2(3) - 1 = 6 - 1 = 5 minutes
So, Niaj's song is 5 minutes long, which matches one of the provided answer choices.
The correct answer is 5 minutes.
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