A radio station broadcasts programs and commericals 20 hours everyday. The ratio of the time spent on commercials to the program

Question

Gala2k [10]

3 years ago

9

A radio station broadcasts programs and commericals 20 hours everyday. The ratio of the time spent on commercials to the program

ming time is 1:4. How much time each day does the station spend broadcasting commercials?

Mathematics

1 answer:

Vanyuwa [196] · Answer 1 · 2022-02-20T07:33:15+03:00

The answer is 4 hours

p - the programming time
c - time spent on commercials

A radio station broadcasts programs and commercials 20 hours everyday:
p + c = 20

The ratio of the time spent on commercials to the programming time is 1:4.
c : p = 1 : 4
p = c * 4 : 1
p = 4c

p + c = 20
p = 4c
_____
4c + c = 20
5c = 20
c = 20 : 5
c = 4h