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primary 6 | Maths
| Measurement
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Please help. Are we able to use factor method instead of substitution?
Date Posted: 4 years ago
Views: 366
This is the 'excess-shortage' type of question.
Question's info :
① If each girl takes 10 sweets, the last girl has only 6.
②But if each girl takes 8 sweets, there are 24 sweets left over.
The idea is to convert scenario ① to ②.
If we want every girl to only have 8 sweets, then those who took 10 sweets will have to give up 2 sweets each.
By doing so, the last girl can get 2 more sweets to have a total of 8. And there can still be 24 sweets left over.
So in total, 24 + 2 = 26
A total of 26 sweets would have been given up by all those girls who took 10 sweets each at first.
Since each girl except the last gave up 2 sweets,
26 ÷ 2 = 13
There were 13 of these girls.
Add the last girl,
13 + 1 = 14
There are 14 girls in total.
Question's info :
① If each girl takes 10 sweets, the last girl has only 6.
②But if each girl takes 8 sweets, there are 24 sweets left over.
The idea is to convert scenario ① to ②.
If we want every girl to only have 8 sweets, then those who took 10 sweets will have to give up 2 sweets each.
By doing so, the last girl can get 2 more sweets to have a total of 8. And there can still be 24 sweets left over.
So in total, 24 + 2 = 26
A total of 26 sweets would have been given up by all those girls who took 10 sweets each at first.
Since each girl except the last gave up 2 sweets,
26 ÷ 2 = 13
There were 13 of these girls.
Add the last girl,
13 + 1 = 14
There are 14 girls in total.
See 1 Answer
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Hi, this is one method you could consider using. Hope this helps!
Date Posted:
4 years ago
Thank you. Totally understand.
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