If a fast song has 160 beats per minute, and a slow song has 90 beats per minute, how many minutes total would you play a fast and a slow song to have a stream of music that had a total of 1,020 beats?  Choose the correct choice from the following options:
A) 6	B) 7	C) 8	D) 9	E) 10
We can determine quickly that total number should range between 1,020/160&lt;= N &lt;= 1,020/90 , so ans should be between 6 and 12.   Now solving the expression 160A+90B = 1,020   decreasing 1,020 by multiples of 160 and checking divisibility of that number by 9, we get   fast song plays for 3 minutes and slow somg plays for 6 minutes, 3*160 + 6*90 = 1,020   Hence total number of minutes stream of music plays is  3 + 6= 
<gadget id="calculator"> 3 + 6</gadget>
<output>9</output>
9 minutes   Ans 9
<result>D</result>
If a fast song has 160 beats per minute, and a slow song has 90 beats per minute, how many minutes total would you play a fast and a slow song to have a stream of music that had a total of 1,020 beats?