Answer:
The number of students who likes pizza is 696 out of 1500.
Step-by-step explanation:
It is given that 58 of the 125 students likes pizza. The fraction of students who likes pizza and total students is [tex]\frac{58}{125}[/tex].
Let the number of students out of 1500 who likes pizza be x. The fraction of students who likes pizza and total students is [tex]\frac{x}{1500}[/tex].
Both fractions will be equivalent.
[tex]\frac{58}{125}=\frac{x}{1500}[/tex]
[tex]\frac{58}{125} \times 1500=x[/tex]
[tex]58\times 12=x[/tex]
[tex]x=696[/tex]
Therefore, the number of students who likes pizza is 696 out of 1500.
Percentage is the number ratio that can be represented as fraction of 100. The number of students who like pizza is 696 students.
To predict the number of students in the school whose favorite food is pizza we need to find the percentage of the number.
Percentage is used to express the number in the parts of it. When a number is written with the division of 100, then we get the percentage of the number.
Given information-
Total number of students in the school is 1500.
Total number of randomly chosen student is 125.
Total number of student who like pizza from 125 random chosen students is 58.
Let x percentage of 125 is 58. thus,
[tex]125\times\dfrac{x}{100} &=58\\x&=\dfrac{58\times100}{125}\\ x&=46.4[/tex]
Hence 58 is 46.4% of number 125.
Suppose [tex]n[/tex] number of students in the school whose favorite food is pizza.
As, total number of students in the school is 1500 and the percentage of students who like pizza is 46.4 percent. Thus,
[tex]n=\dfrac{46.4}{100}\times1500 \\\n=696[/tex]
Hence the number of students who like pizza is 696 students.
Learn more about percentage of a number here;
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