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PSAT Math Multiple-Choice Practice Question 778

Question: 778

The table below gives the results of a survey of a randomly selected sample of 400 individuals who are 15 and 16 years old. Each respondent selected the method of electronic communication that he or she used the most. 
Primary Method of Electronic Communication
TextingE-mailVideo ChattingOtherTotal
15-year-olds
110
20
40
30
200
16-year-olds
85
45
30
40
200
Total
195
x
70
70
400

The table omits the value for x in the bottom row. Based on the structure of the table, what is the value of x?

Correct Answer: D

Explanation:

(D) Look at the bottom row. There are a total of 400 individuals. Each person selected the one type of communication that he or she prefers. So the first four numbers in the bottom row must add up to 400:
195 + x + 70 + 70 = 400
Combine like terms on the left side of the equation:
335 + x = 400
Subtract 335 from both sides to isolate x:
x = 65
The answer is choice (D).
Alternatively, you could have added the first two terms in the e-mail column to obtain x:
20 + 45 = 65.

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