Question

In a group of 60 students, 45 speak Spanish and 30 speak Garifuna. 10 students speak neither Spanish nor Garifuna. Some students speak Spanish and Garifuna. How many students speak Garifuna only? *

Answer 1

To find out how many students speak Garifuna only, we use set theory to subtract the number of students who speak both Spanish and Garifuna from the total number of Garifuna speakers. The calculation shows that 5 students speak Garifuna only.

Step-by-step explanation:

To determine how many students speak Garifuna only, we can use the principle of inclusion and exclusion from set theory. First, we know there are 60 students, and 10 students speak neither Spanish nor Garifuna. This means 50 students speak at least one of the languages. Since 45 speak Spanish, that leaves 50 - 45 = 5 students who could potentially speak only Garifuna. However, we also know that 30 students speak Garifuna. To find out how many speak only Garifuna, we must subtract the number of students who speak both languages from the total number of Garifuna speakers.

Let's assume 'x' is the number of students who speak both Spanish and Garifuna. Therefore:

• 45 (Spanish speakers) + 30 (Garifuna speakers) - x (both languages) = 50 (any of the languages).
• 75 - x = 50
• x = 75 - 50
• x = 25 students speak both Spanish and Garifuna.

To find the students who speak Garifuna only, we subtract the number of students who speak both languages from the total number of Garifuna speakers:

• 30 (Garifuna speakers) - 25 (both languages) = 5 students speak Garifuna only.

Answer 2

Only 4 speak Garífuna