Question 1060724: In a student survey, 112 students indicated that they speak Spanish, 27 students indicated that they speak French, 10 students indicated that they speak both Soanish and French, and 129 students indicated that they speak neither. How many students participated in the survey?
A. 129
B. 248
C. 268
D. 258
Answer by ikleyn(52864)   (Show Source):
You can put this solution on YOUR website! .
In a student survey, 112 students indicated that they speak Spanish, 27 students indicated that they speak French,
10 students indicated that they speak both Spanish and French, and 129 students indicated that they speak neither.
How many students participated in the survey?
A. 129
B. 248
C. 268
D. 258
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1. 112 + 27 - 10 = 129 speak in one of the two languages, Spanish or French.
2. 129 + 129 = 258.
Answer. How many students participated in the survey? - 258.
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I added 112 and 27 by the clear reason.
I distracted 10 to account for those students who speaks in two languages,
because I counted them twice when added 112 and 27.
The rest of the solution does not require explanations.
If you want to see more similar solved problems, look into the lrsson
- Counting elements in sub-sets of a given finite set
in this site.
Also, you have this free of charge online textbook in ALGEBRA-I in this site
- ALGEBRA-I - YOUR ONLINE TEXTBOOK.
The referred lesson is the part of this online textbook under the topic "Miscellaneous word problems".
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