School Excursion Percentage

The school director announced that of the 250 children attending the school, every fifth student has the opportunity to participate in the excursion. Then 18% of boys and 23% of girls went on an excursion. Determine how many boys and how many girls attend the school.

Final Answer:

a =  150
b =  100

Step-by-step explanation:


a+b = 250
0.18a + 0.23b = 250/5

a+b = 250
0.18·a + 0.23·b = 250/5

a+b = 250
0.9a+1.15b = 250

Row 2 - 0.90000000000001 · Row 1 → Row 2
a+b = 250
0.25b = 25


b = 25/0.25 = 100
a = 250-b = 250-100 = 150

a = 150
b = 100

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