Ask Singapore Homework?

Upload a photo of a Singapore homework and someone will email you the solution for free.



Question

primary 6 | Maths | Data Analysis
No Answers Yet

Anyone can contribute an answer, even non-tutors.

Answer This Question
Owen
Owen

primary 6 chevron_right Maths chevron_right Data analysis chevron_right Singapore

How to find, where to start first???

Date Posted: 9 months ago
Views: 122
Owen
Owen
9 months ago
Is there a simple method to find the Jar weight without doing algebra, or simply easy method to find??? Can show model? Draw model to find???
J
J
9 months ago
Quite easy.

Since you're told the mass of one screw is twice of a nail, it just means 1 screw weighs the same as 2 nails.

40 × 2 = 80

40 screws will have the same mass as 80 nails.

So, the jar with 40 screws has the same mass as a jar with 80 nails.

It's like you replace the 40 screws with 80 nails and the mass stays the same.

Now compare this to the jar with only 20 nails.

First, convert 1.4kg to 1400g.

Then,
Difference in mass = 1400g - 500g = 900g
But difference also = 80 nails - 20 nails = 60 nails

This tells you that 60 nails weigh 900g.

Since we need the mass of 20 nails only, and 60 ÷ 3 = 20,

Mass of 20 nails = 900g ÷ 3 = 300g

Mass of jar = 500g - 300g = 200g
J
J
9 months ago
Alternatively,

The jar with 20 nails weighs the same as a jar with 10 screws, since 20 nails has the same mass as 10 screws.

Compare this to the first jar,

Difference in mass = 1400g - 500g = 900g
But difference also = 40 screws - 10 screws
= 30 screws

Mass of 30 screws = 900g
So mass of 10 screws = 900g ÷ 3 = 300g

Mass of empty jar = 500g - 300g = 200g


Or, if you use the first jar to find,

Mass of 40 screws = 300g × 4 = 1200g
Mass of empty jar = 1400g - 1200g = 200g

There is no need to use algebra or models at all.

There is also no need to find the mass of a single screw or nail first (though you can do so if you want, it is 15g per nail and 30g per screw)