Evan and Peter have a radio show which consists of 2 segments. They need 4 less than 11 songs in the first segment. In the second segment, they need 5 less than 3 times the number of songs in the first segment.
Part A
Write an expression for the total number of songs they need for their show.
A.(11−4)+3×11−4−5
B.(11−4)+3×(11−4)−5
C. (11−4)+3−4×11−5
D. (11−4)+3−5×(11−4)
Part B
Evaluate the expression.
A. 39 songs
B. 31 songs
C. 25 songs
D. 23 songs
Part A:
Let x be the number of songs needed in the first segment.
Then, the number of songs needed in the second segment is 3x - 5.
The total number of songs needed is: x + (3x - 5) = 4x - 5.
So, the expression for the total number of songs they need for their show is:
4x - 5.
Substitute x = 11 - 4 = 7 (since they need 4 less than 11 songs in the first segment) to get:
4(7) - 5 = 28 - 5 = 23.
Therefore, the answer is:
B. 23 songs.