Solve the problem.
-Monticello residents were surveyed concerning their preferences for candidates Moore and Allen in an upcoming election. Of the 800 respondents, 300 support neither Moore nor Allen, 100 support Both Moore and Allen, and 250 support only Moore. How many residents support Moore or Allen?
A)400
B)300
C)100
D)500

Question

Quizplus · Accepted Answer

The total number of residents supporting Moore or Allen is found by adding those who support only Moore, only Allen, and both. Since 300 support neither and 100 support both, we subtract these from the total surveyed to find those supporting only Allen. So, 800 - 300 = 500 residents support Moore or Allen, including those who support both. Specifically, 250 support only Moore, and to find those who support only Allen, we use the total who support Moore or Allen (500) minus those who support only Moore (250) and those who support both (100), which gives us 150 who support only Allen. Therefore, 250 (only Moore) + 150 (only Allen) + 100 (both) = 500.

Solve the Problem. -Monticello Residents Were Surveyed Concerning Their Preferences for Candidates Moore