PSAT Math Grid-Ins Question 82: Answer and Explanation
Question: 82
| TV Owners | Thursday Viewing Audience (all channels) | |
|---|---|---|
| Under age 35 | 4,100 | 1,900 |
| Age 35 or older | 3,400 | 1,600 |
The table above displays data that show the number of TV owners in the town of Jonesville and how many of these owners had their televisions on during a particular Thursday evening. On that evening, 20 percent of TV owners in Jonesville tuned in to a certain channel. If a channel's nightly rating is reported as a fraction and is defined as 
, then what was the channel's nightly rating?
Correct Answer: 3/7 or .428
Explanation:
3/7 or .428
Difficulty: Medium
Getting to the Answer: According to the expression provided, you need the number of viewers and the total viewing audience:
Channel's viewers = 20% of TV owners
= 0.20(4,100 + 3,400) = 0.2(7,500) = 1,500
Total viewing audience = 1,900 + 1,600 = 3,500
Nightly rating = 
Grid in 3/7 or .428.
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