Three-room 5021

The house has apartments of three sizes. 1/6 are four-room, 1/3 of the rest are two-room. There are 160 three-room apartments. How many two-room apartments are there?

Correct answer:

a =  80
b =  48

Step-by-step explanation:

p4=1/6=610.1667 p2=1/3 (1p4)=1/3 (10.1667)=1850.2778 p3=1(p2+p4)=1(0.2778+0.1667)=950.5556 n=160/p3=160/0.5556=288 a=p2 n=0.2778 288=80
b=p4 n=0.1667 288=48

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