Question

Company S produces two kinds of stereos: basic and deluxe. Of the stereos produced by Company S last month, 2/3 were basic and the rest were deluxe. If it takes 7/5 as many hours to produce a deluxe stereo as it does to produce a basic stereo, then the number of hours it took to produce the deluxe stereos last month was what fraction of the total number of hours it took to produce all the stereos

Answer 1

7/17

Step-by-step explanation:

For easier calculation , let us represent the total number of stereo produced with a figure that can easily be divide into 3 .

Let us use 21 as the total number of stereo produced.

Basic stereo = 2/3 * 21 = 14

Deluxe stereo = (1- 2/3)*21 = 7

Now , if it takes 7/5 as many hours to produce a deluxe stereo to produce a basic stereo.

Let us assume that it took 2 hours to produce each deluxe stereo, then each basic stereo was produced in 7/5 *2 = 14/10.

Total hours used to produce basic stereo = 14 *14/10 = 19.6. approximately 20

Total hours used to produce deluxe stereo = 2*7 = 14

Total number of hours for all stereo = 20+14 = 34

fraction of delute stereo hours to total stereo hours = 14 / 34 = 7/17