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If at first there were 10u adults, 4u were women and 6u were men.

After 25 men entered the library, there were ( 10u + 25) adults and ( 6u + 25) men.

( 10u + 25) * 80/100 = 6u + 25

( 10u + 25) * 4/5 = 6u + 25           multiply both sides by 5

40u + 100 = 30u + 125

10u = 25

u = 2.5 

10u + 25 = 50

 

Check: 6u = 15

15 + 25 = 40

40/50 = 0.8 = 80% checked

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