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primary 6 | Maths
| Percentage
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Fraction
Date Posted: 4 years ago
Views: 373
From the information, you should be able to deduce that :
⅔ of the chocolate buns and 5/6 of the vanilla buns were sold.
Since the number of each type sold is the same, the number of units should be same. (Equal concept)
Make the numerator the same. The denominator is the number of units there are of each type of bun.
Common multiple of 2 and 5 is 10.
2/3 = 10/15
5/6 = 10/12
This means that :
10 units of each type of bun were sold.
15 units of chocolate buns were baked.
12 units of vanilla buns were baked.
Total number of buns = 15 units + 12 units = 27 units
27 units = 945
1 unit = 945 ÷ 27 = 35 buns
⅔ of the chocolate buns and 5/6 of the vanilla buns were sold.
Since the number of each type sold is the same, the number of units should be same. (Equal concept)
Make the numerator the same. The denominator is the number of units there are of each type of bun.
Common multiple of 2 and 5 is 10.
2/3 = 10/15
5/6 = 10/12
This means that :
10 units of each type of bun were sold.
15 units of chocolate buns were baked.
12 units of vanilla buns were baked.
Total number of buns = 15 units + 12 units = 27 units
27 units = 945
1 unit = 945 ÷ 27 = 35 buns
a)Number of chocolate buns packed
= 15 units - 10 units
= 5 units
= 5 x 35
= 175
= 15 units - 10 units
= 5 units
= 5 x 35
= 175
b)
Assumption/supposition question
Assume that all 23 boxes contained 5 chocolate buns each.
Number of buns = 23 x 5 = 115
Difference in number of buns calculated and expected number of buns
= 175 - 115
= 60
Difference of buns (added to the total) when you swap 1 box of 5 buns for 1 box of 9 buns
= 9 - 5
= 4
Actual number of boxes containing 9 buns
each = 60 ÷ 4
= 15
Assumption/supposition question
Assume that all 23 boxes contained 5 chocolate buns each.
Number of buns = 23 x 5 = 115
Difference in number of buns calculated and expected number of buns
= 175 - 115
= 60
Difference of buns (added to the total) when you swap 1 box of 5 buns for 1 box of 9 buns
= 9 - 5
= 4
Actual number of boxes containing 9 buns
each = 60 ÷ 4
= 15
Model :
Chocolate : ■■■■■|■■■■■|□□□□□
Vanilla bun:■■|■■|■■|■■|■■|□□
Black square represents number of units sold and white square represents number of units of buns left.
Both types have 10 units sold
Chocolate : ■■■■■|■■■■■|□□□□□
Vanilla bun:■■|■■|■■|■■|■■|□□
Black square represents number of units sold and white square represents number of units of buns left.
Both types have 10 units sold
See 1 Answer
done
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clear
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can draw models instead if this is too complex to understand
Date Posted:
4 years ago
This is an equal concept question, the units for buns sold of each type should be drawn to the same total size.
i.e 2 units of chocolate buns to be the same size as 5 units of vanilla buns. Then, further sub division can be done to get 10 units each.
The way you've drawn it may confuse the student into thinking the number of units of each type of bun left(1) is of the same size
i.e 2 units of chocolate buns to be the same size as 5 units of vanilla buns. Then, further sub division can be done to get 10 units each.
The way you've drawn it may confuse the student into thinking the number of units of each type of bun left(1) is of the same size
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