Question

The customers of Rhythm Time, an online music service, downloaded 5,250 songs last year. This year, the number was 42% lower. How many songs did they download this year?

a) 2,415 songs
b) 3,045 songs
c) 2,625 songs
d) 4,165 songs

Answer 1

To calculate how many songs customers downloaded this year after a 42% decrease, multiply 5,250 by 0.42 to find the decrease amount and subtract it from 5,250. The result is 3,045 songs, so option b) is correct.

Step-by-step explanation:

The problem given is a percentage decrease problem in which we need to find the new number of songs downloaded this year after a 42% decrease from last year's number. The calculation needs to be performed as follows:

1. First, find the amount of decrease by calculating 42% of 5,250 songs, which were downloaded last year.
2. Then, subtract this decrease from the original number of songs to find out how many songs were downloaded this year.

Step 1: Calculate 42% of 5,250. 42% is the same as 0.42 in decimal form, so:

0.42 × 5,250 = 2,205

Step 2: Subtract the decrease from last year's total downloads to find this year's total downloads.

5,250 - 2,205 = 3,045

Therefore, this year, customers downloaded 3,045 songs, which makes option b) the correct answer.