45% of the students in a school are girls. If the total number of students is 1000 find the number of girls in the school.
Answers
Answer:
let there be x number of girls in the school
In a school, there are 1000 boys and a number of girls
Total students = 1000 + x
Number of successful students out of total students are 48%
= 48/100 × (1000 + x)
= 0.48 (1000 + x)
= 480 + 0.48x
Number of successful students are 480 + 0.48x
Students that were successful in an examination was made up of 50% of the boys and 40% of the girls.
(480 + 0.48x) = 50/100 of 1000 + 40/100 × x
(480 + 0.48x) = 500 + 0.40x
480 + 0.48x = 500 + 0.40x
0.48x - 0.40x = 500 - 480
0.08x = 20
x = 20/0.08
x = 2000/8
x = 250
So number of girls in the school are 250
Answer the number of girls in the school are 250
To check the correctness of answer substituting the value of x in the equation
(480 + 0.48x) = 500 + 0.40x
480 + 0.48 × 250 = 500 + 0.40 × 250
480 + 120 = 500 + 100
600 = 600
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Answer:
450
Step-by-step explanation:
45% of 1000 students = (45/100)x1000 students
=450 students
Therefore 450 students are girls