Question

Most television shows use 13 minutes of every hour for commercials, leaving the remaining 47 minutes for the actual show. One popular television show wants to change the ratio of commercial time to show time to be 3: 7. Create two ratio tables, one for the normal ratio of commercials to programming and another for the proposed ratio of commercials to programming. Use the ratio tables to make a statement about which ratio would mean fewer commercials for viewers watching 2 hours of television.

Answer 1

the old scheme has fewer commercials for viewers watching 2 hours of TV.

Explanation:

Given: Commercials time for every 1 hour = 13 minutes

Actual show time = 47 minutes

So, the ratio of commercial to actual show is 13: 47

The new proposed ratio of commercial to actual show = 3 : 7

Total = 3+ 7 = 10

Now let's divide 60 minutes by 10, we get

60 ÷ 10 = 6 minutes

The new proposed commercials time for every 1 hour = 3 × 6 = 18 minutes

The new proposed actual show time for every 1 hour = 7 × 6 = 42 minutes

Now let's make table .

Commercial Actual show

Old scheme 13 mins 47 mins

New scheme 18 mins 42 mins

For 2 hours program

Commercial Actual show

Old scheme 26 mins 94 mins

New scheme 36 mins 84 mins

So, the old scheme has fewer commercials for viewers watching 2 hours of TV.

Answer 2

the current plan will have fewer commercials

Explanation:

Given:

Commercials time = 13 minutes

Actual show time = 47 minutes

Therefore,

The ratio of commercial to actual show =
`\frac{\textup{13}}{\textup{47}}`

Now,

The proposed ratio of commercial to actual show = 3 : 7

Therefore,

Proposed time for the commercials per hour =
`\frac{\textup{3}}{\textup{3 + 7}}*60`

or

= 18 minutes

therefore,

proposed time for actual show = 60 - 18 = 42 minutes

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Advertisement per hour Actual show per hour

Current plan 13 minutes 47 minutes

proposed plan 18 minutes 42 minutes

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Hence,

the current plan will have fewer commercials