Respuesta :
Answer: a) 60
b) 18
Step-by-step explanation:
Let the number of students that were surveyed be 'x'.
Number of students who said French = 12
Percentage of French = 20%
According to question it becomes,
[tex]\frac{20}{100}\times x=12\\\\x=\frac{12\times 100}{20}\\\\x=60[/tex]
A) How many students were surveyed ?
The number of students were surveyed = 60
B) How many of the students surveyed would like to learn Spanish?
Percentage of Spanish = 30%
Number of students who would like to learn Spanish is given by
[tex]\frac{30}{100}\times 60\\\\=18[/tex]
So, there are 18 students who like Spanish.
You can use the percentage given along with the fact that there are 12 students interested in French to get to know how many students were surveyed.
- The number of students surveyed is 60
- The number of students who like to learn Spanish is 18
How to find the percentage from the total value?
Suppose the value of which a thing is expressed in percentage is "a'
Suppose the percent that considered thing is of "a" is b%
Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).
Thus, that thing in number is
[tex]\dfrac{a}{100} \times b[/tex]
Suppose that there were [tex]x[/tex] students surveyed.
Then, as there are 12 students who wants to learn French and it is given that 20% of the students surveyed wants to learn French, thus,
[tex]12 = \text{20 percent of x}[/tex]
20% of x is calculated as [tex]\dfrac{x}{100} \times 20 = \dfrac{x}{5}[/tex]
Thus, we get
[tex]12 = \dfrac{x}{5}\\\\\text{Multiplying 5 on both the sides}\\\\60 = x[/tex]
Thus, the count of students surveyed is 60.
Now, since there are 30% students who wants to learn Spanish, thus,
Number of students out of surveyed students willing to learn Spanish is given as
[tex]N_{spanish} = \dfrac{60}{100} \times 30 = 18[/tex]
Thus,
- The number of students surveyed is 60
- The number of students who like to learn Spanish is 18
Learn more about percentage here:
https://brainly.com/question/11549320