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primary 6 | Maths | Measurement
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Noah
Noah

primary 6 chevron_right Maths chevron_right Measurement chevron_right Singapore

Please help with model drawing.
God bless u

Date Posted: 3 years ago
Views: 488
J
J
3 years ago
You are given decimals so change them into fractions first. Then apply the equal concept (make the numerator the same)
Noah
Noah
3 years ago
Can u please draw the model?
J
J
3 years ago
Method : Repeated Identity, Ratio, Equal Concept

Chocolate chip → CC ,Peanut butter → PB
Oatmeal raisin → OR

0.5 of CC = 0.6 of PB
0.6 of PB = 0.4 of OR

Now,
0.5 = 5 ÷ 10 = 5/10 = ½
0.6 = 6 ÷ 10 = 6/10 = 3/5
0.4 = 4 ÷ 10 = 4/10 = 2/5

So we can restate the above as :


½ of CC = 3/5 of PB

Make the numerator the same. ½ = 3/6

So 3/6 of CC = 3/5 of PB

This means there are 6 units of CC, 5 units of PB.

Ratio of CC to PB = 6 : 5



½ of PB = 2/5 of OR
Make the numerator the same. ½ = 2/4

So 2/4 of PB = 2/5 of OR

This means there are 4 units of PB, 5 units of OR

Ratio of PB to OR = 4 : 5


We have a repeated identity (OR) so we should make the units the same for OR in both ratios.

Since common multiple of 5 and 4 is 20,
(5x4 = 20)

Ratio of CC to PB = 6 : 5 = 24 : 20
Ratio of PB to OR = 4 : 5 = 20 : 25


Put together,

Ratio of CC to PB to OR = 24 : 20 : 25

Total units = 24 + 20 + 25 = 69
Total cookies = 483


So 69 units = 483 cookies
1 unit = 483 cookies ÷ 69 = 7 cookies



Number of OR cookies = 25 units
= 25 x 7 cookies
= 175 cookies
J
J
3 years ago
When represented by model :


CC ■■■■■■■■■■■■ ■■■■■■■■■■■■
PB ■■■■ ■■■■ ■■■■ ■■■■ ■■■■

PB ■■■■■■■■■■ ■■■■■■■■■■
OR ■■■■■ ■■■■■ ■■■■■ ■■■■■ ■■■■■
J
J
3 years ago
The model can be simplified to :

CC*|4u|4u|4u|4u|4u|4u|→total 24u
***|----12u-----|----12u-----|

PB |4u|4u|4u|4u|4u|→total 20u


PB*|5u-|5u-|5u-|5u-|
***|---10u---|---10u---|→total 20u

OR |5u-|5u-|5u-|5u-|5u-|→total 25u


The dashes and * are used for spacing only and do not mean anything.

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Dora Yeo
Dora Yeo's answer
3 answers (Tutor Details)
1st
Hope this helps!
J
J
3 years ago
Noah, this is basically the same as what I've written in the main comments section. You have to get used to making the numerator the same and using ratio to solve.

Model drawing is sometimes too tedious and time consuming
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David Tan
David Tan's answer
24 answers (Tutor Details)