Directorate 3845

There were 560 pupils in the school. They rewarded 8% of all boys and 10% of all girls for excellent results. The directorate stated that teachers rewarded 9% of all pupils. How many boys and how many girls attended the school?

Correct answer:

a =  280
b =  280

Step-by-step explanation:


a+b=560
0.08a+0.10b = 0.09 · 560

a+b=560
0.08·a+0.10·b = 0.09 · 560

a+b = 560
0.08a+0.1b = 50.4

Row 2 - 0.079999999999998 · Row 1 → Row 2
a+b = 560
0.02b = 5.6


b = 5.6/0.02 = 280
a = 560-b = 560-280 = 280

a = 280
b = 280

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