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This is the other method
It’s called gap and difference (quite hard to understand in my opinion)
It’s called gap and difference (quite hard to understand in my opinion)
Date Posted:
2 years ago
Thank you!!!
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Hope this helps
Date Posted:
2 years ago
P5 or 1st time learner, use listing method... Else use gap and difference or algebra.
Thank you!!!
Thank you everyone!!!
Welcome
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Sorry I made a calculation error in my previous post
Date Posted:
2 years ago
Excess-shortage method :
① If he gives each student 5 bookmarks, there will be 4 bookmarks left.
②Now, if each student is to have 6 bookmarks instead, then he needs to give each of them 1 more.(6 - 5 = 1)
③But his 4 leftover bookmarks is not enough. He needs 5 more bookmarks on top of that.
4 + 5 = 9. So he needs to give the students 9 more bookmarks such that they all receive 1 more.
(4 is the excess, 5 is the shortage. Hence the name 'excess-shortage'. We add the excess to the shortage)
④ Since each student needs to receive 1 more bookmark, number of students there are to receive 9 more bookmarks in total = 9 ÷ 1 = 9
So there are 9 students.
⑤Number of bookmarks bought
= 5 bookmarks per student × 9 students + excess
= 45 + 4 = 49
Or
6 bookmarks per student × 9 students - shortage
= 54 - 6 = 49
① If he gives each student 5 bookmarks, there will be 4 bookmarks left.
②Now, if each student is to have 6 bookmarks instead, then he needs to give each of them 1 more.(6 - 5 = 1)
③But his 4 leftover bookmarks is not enough. He needs 5 more bookmarks on top of that.
4 + 5 = 9. So he needs to give the students 9 more bookmarks such that they all receive 1 more.
(4 is the excess, 5 is the shortage. Hence the name 'excess-shortage'. We add the excess to the shortage)
④ Since each student needs to receive 1 more bookmark, number of students there are to receive 9 more bookmarks in total = 9 ÷ 1 = 9
So there are 9 students.
⑤Number of bookmarks bought
= 5 bookmarks per student × 9 students + excess
= 45 + 4 = 49
Or
6 bookmarks per student × 9 students - shortage
= 54 - 6 = 49