SOLUTION: At acertain school boys represent 21 pupils less than 58% of the total school,and girls represent 3 pupils more than 46%. How many pupils attend the school?

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Question 1011559: At acertain school boys represent 21 pupils less than 58% of the total school,and girls represent 3 pupils more than 46%. How many pupils attend the school?
Answer by ikleyn(52814) About Me  (Show Source):
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At a certain school boys represent 21 pupils less than 58% of the total school,and girls represent 3 pupils more than 46%. How many pupils attend the school?
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Let x be (an unknown) number of pupils in the school.

Then the number of boys  is  b = 0.58x - 21.
     The number of girls is  g = 0.46 + 3, according to the condition.

Obviously, b + g = x, and it gives you an equation

0.58x - 21 + 0.46x + 3 = x.

Simplify and solve it for x:

1.04x - 18 = x,

1.04x - x = 18,

0.04x = 18,

x = 18%2F0.04 = 9%2F0.02 = 450.

Answer. The number of pupils in the school is 450.