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primary 6 | Maths
| Measurement
2 Answers Below
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Please help with model drawing.
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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 :
①
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
②
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
CC ■■■■■■■■■■■■ ■■■■■■■■■■■■
PB ■■■■ ■■■■ ■■■■ ■■■■ ■■■■
PB ■■■■■■■■■■ ■■■■■■■■■■
OR ■■■■■ ■■■■■ ■■■■■ ■■■■■ ■■■■■
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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Model drawing is sometimes too tedious and time consuming