in a group of 50 students, 28 speak english and 37 speak spanish. if five members speak neither language, how many speak both english and spanish?
i donn't understand... it says a group of 50 students but 28 + 37 is already grater than 50
Since 5 students speak neither English nor Spanish, we have a pool of 50-5=45 students who speak one or more of English or Spanish.
Since 28 speak English, and 37 speak Spanish, the total number of 'official' language speakers is 28+37 = 65, 20 more than the number of students. Thus we can conclude that 20 students speak both English and Spanish, 28-20=8 speak only English, and 37-20=17 speak only Spanish. This adds up to 45, in addition to 5 who speak neither English nor Spanish.
You are correct. The given information seems inconsistent since the total count of students who speak English (28) and Spanish (37) is greater than the total number of students in the group (50). Please clarify the information or provide additional details so that I can help you further.
You're right, the total number of students speaking English (28) and Spanish (37) is greater than the total number of students in the group (50), which might seem confusing at first. However, it's important to note that some students may be bilingual and can speak both English and Spanish.
To find out how many students speak both English and Spanish, we need to subtract the number of students who speak only one language from the total number of students who speak both languages.
Let's break it down step by step:
1. Start with the total number of students in the group: 50.
2. Subtract the number of students who speak English only: 28.
3. Subtract the number of students who speak Spanish only: 37.
4. Subtract the number of students who speak neither language: 5.
So, the formula to find the number of students who speak both English and Spanish is:
Total number of students - (Number of English-only speakers + Number of Spanish-only speakers + Number of students who speak neither language)
Using the given information:
50 - (28 + 37 + 5) = 50 - 70 = -20
However, a negative value does not make sense in this context, so it seems that there is either an error in the information provided, or we need more information to accurately determine the number of students who speak both English and Spanish.
The 28 and 37 counts are overlapping. People who speak both languages are double counted...
numEnglishSpeakers + numSpanishSpeakers - numBothSpeakers + numSpeakNeither = 50
28 + 37 - both + 5 = 50
both = 20