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primary 6 | Maths
| Algebra
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= 1 - 7/15
= 8/15
(This means 8 out of 15 units)
After 7 days, fraction of food left in Bag B
= 1 - 7/21
= 14/21
= 2/3
(This means 2 out of 3 units)
Since the amount of food left behind in both bags is the same after 7 days, the number of units are the same.
So we make the numerator the same since it represents the number of units.
2/3 = 8/12
From this we can see that :
Number of units in Bag A at first is 15, and 12 in Bag B. And both had 8 units left in the end.
Total at first = 15 units + 12 units = 27 units
27 units = 63kg
1 unit = 2⅓kg
Original amount of food in bag B at first
= 2⅓kg x 12
= 28kg
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