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primary 6 | Maths | Fractions
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Gens
Gens

primary 6 chevron_right Maths chevron_right Fractions chevron_right Singapore

SA2 Red swastika 2017 . please help

Date Posted: 5 years ago
Views: 343
J
J
5 years ago
Treat Jerry's stamps at first as 4 units.

So Tom has 4 units + 60 at first.

1/4 of that = (4 units + 60 stamps) ÷ 4
= 1 unit + 15 stamps

Gave ¼ to Jerry means Tom gave 1 unit and 15 stamps to Jerry.

So Jerry now has 4 units + 1 unit + 15 stamps = 5 units + 15 stamps


Tom now has 3 x (1 unit + 15 stamps)
= 3 units + 45 stamps



Tom then receives 2/5 of Jerry's stamps and 87 stamps from his uncle.

1/5 of Jerry's stamps = (5 units + 15 stamps) ÷ 5
= 1 unit + 3 stamps

2/5 of Jerry's stamps = 2 x (1 unit + 3 stamps)
= 2 units + 6 stamps

So Jerry gave 2 units + 6 stamps to Tom.

Stamps that Tom has now
= 2 units + 6 stamps + 3 units + 45 stamps + 87 stamps = 5 units + 138 stamps

But question says that he has twice his original number,which = (4 units + 60) x 2
= 8 units + 120 stamps


8 units - 5 units = 3 units

138 stamps - 120 stamps = 18 stamps

If we compare, 5 units and 120 stamps are in common. What's not common is 3 units and 18 stamps

But since the two are the same,

3 units = 18 stamps.

1 unit = 18 stamps ÷ 3 = 6 stamps


Number of stamps Jerry gave to Tom
is 2 units + 6

= 2 x 6 + 6
= 12 + 6
= 18


Number of stamps Tom had in the end
= 8 units + 120
= 8 x 6 + 120
= 48 + 120
= 168
Gens
Gens
5 years ago
thanks a lot
J
J
5 years ago
Welcome. Please check the above working again. I have edited some of the errors made earlier.

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Genius on the go
Genius On The Go's answer
22 answers (A Helpful Person)
1st
The equations written in led are for the answer and a) and b) are labelled. Those equations in pen are to show the changes.