From a sack of potatoes weighing 120kg a merchant sells portions weighing 6kg 5(1)/(4)kg 9(1)/(2)kg and 9(3)/(4)kg respectively. (i) How many kg did he sell? (ii) How many kg are still left in the sack?
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Weight of potato =120kg
(i) potatoes sold by merchant =6kg+5
4
1
kg+9
2
1
kg+9
4
3
kg
It can be written as
=(6+21/4+19/2+39/4) kg
LCM of 1, 4 and 2 is 4
=(24+21+38+39)/4
By further calculation
=122/4
=61/2kg
=30
2
1
kg
(ii) Potatoes left in the sack =120kg−30
2
1
kg
It can be written as
=(120/1−61/2) kg
By further calculation
=(240−61)/2 kg
So we get
=179/2kg
=89
2
1
kg
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