Q&A - PSLE Math
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Need help on this question. Thks
Eugene,Freddy and George had some playing cards .Freddy had 200 more playing cards than Eugene.George had 3/4 the number of cards Freddy had. After George lost 1/6 of his cards to Eugene , he had 320 fewer cards tha Eugene. What was the ratio of cards Eugene had to the number of cards Freddy had to the number of cards to the number of cards George had in the end? -
Shimmer:
HiCan someone help on this question ?
1) During a camp, Mrs chan ordered an equal number of buns and cakes for breakfast from a bakery. The ratio of the cost of a bun to the cost of a cake was 3:1. 60% of the buns and 40% of the cakes were eaten and that cost her $264.
A) if each bun cost $1.20, how many buns did she order ?
b) if the bakery agreed only to change for the buns and cakes consumed, how many would she save if only 70% of the buns and 60% of the cakes were eaten at the end of he camp.
each bun --> $1.20, buns sold --> 60u
each cake --> $0.40, cakes sold --> 40u
Total cost of buns sold --> 72u
Total cost of cakes sold --> 16u
88u --> $264
1u --> 3
a) Number of buns ordered = 100 x 3 = 300
b) cost of 70% buns + 60% cakes --> 210 buns + 180 cakes --> 210 x 1.2 + 180 x 0.4 = $324
300 buns + 300 cakes --> 300 x 1.60 = $480
savings --> $480 - $324 = $156
cheers. -
Shimmer:
HiNeed help on this question. Thks
Eugene,Freddy and George had some playing cards .Freddy had 200 more playing cards than Eugene.George had 3/4 the number of cards Freddy had. After George lost 1/6 of his cards to Eugene , he had 320 fewer cards tha Eugene. What was the ratio of cards Eugene had to the number of cards Freddy had to the number of cards to the number of cards George had in the end?
Eugene --> 8 units
Freddy --> 8 units + 200
George --> 6 units + 150
George lost 1/6 to Eugene, 1/6 --> 1 unit + 25
In the end:
Freddy --> 8 units + 200
George --> 5 units + 125
Eugene --> 9 units + 25
9 units + 25 = 5 units + 125 + 320
1 unit --> 105
...i think you can complete the solution..
cheers. -
tianzhu:
Hi,Hi
Another way to look at your question.
Please refer to MathIzzzFun ‘s diagram.
From the centre of the circle o, draw three lines to touch A,B and C of the triangle.
This will give you 3 smaller triangles of height equal to radius r.
Area of triangle ABC ------ ½*18*24 ------- 216
Area of triangle AOC ------ ½*18*r ------ 9r
Area of triangle AOB ------ ½*24*r ------ 12r
Area of triangle BOC ------ ½*30*r ------ 15r
9r+12r+15r ------- 36r
36r ------ 216
r ------- 6
Best wishes
Thks MathIzzzFun for explaining the equation (24-r)+(18-r)=30 with a diagram to illustrate. Thk u tianzhu for the effort to come out with the 2nd solution (dividing the original triangle into 3 different triangles with height =r). Really thankful to both of you for your time and effort. I'm now able to accept this as a P6 maths qtn.
:thankyou: -
MathIzzzFun:
Hi kaisugrandmaster
HiShimmer:
Need help on this question. Thks
Eugene,Freddy and George had some playing cards .Freddy had 200 more playing cards than Eugene.George had 3/4 the number of cards Freddy had. After George lost 1/6 of his cards to Eugene , he had 320 fewer cards tha Eugene. What was the ratio of cards Eugene had to the number of cards Freddy had to the number of cards to the number of cards George had in the end?
Eugene --> 8 units
Freddy --> 8 units + 200
George --> 6 units + 150
George lost 1/6 to Eugene, 1/6 --> 1 unit + 25
In the end:
Freddy --> 8 units + 200
George --> 5 units + 125
Eugene --> 9 units + 25
9 units + 25 = 5 units + 125 + 320
1 unit --> 105
...i think you can complete the solution..
cheers.
May I know how you get
Eugene --> 8 units
Freddy --> 8 units + 200
George --> 6 units + 150 -
Thanks tianzhu
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Shimmer:
Hi kaisugrandmaster
HiMathIzzzFun:
[quote=\"Shimmer\"]Need help on this question. Thks
Eugene,Freddy and George had some playing cards .Freddy had 200 more playing cards than Eugene.George had 3/4 the number of cards Freddy had. After George lost 1/6 of his cards to Eugene , he had 320 fewer cards tha Eugene. What was the ratio of cards Eugene had to the number of cards Freddy had to the number of cards to the number of cards George had in the end?
Eugene --> 8 units
Freddy --> 8 units + 200
George --> 6 units + 150
George lost 1/6 to Eugene, 1/6 --> 1 unit + 25
In the end:
Freddy --> 8 units + 200
George --> 5 units + 125
Eugene --> 9 units + 25
9 units + 25 = 5 units + 125 + 320
1 unit --> 105
...i think you can complete the solution..
cheers.
May I know how you get
Eugene --> 8 units
Freddy --> 8 units + 200
George --> 6 units + 150[/quote]Hi
you can also use 1 unit - but will have to manipulate fractions.
Eugene --> 1 unit
Freddy --> 1 unit + 200
George --> 3/4 unit+ 150
George lost 1/6 to Eugene, 1/6 --> 1/8 unit + 25
In the end:
Freddy --> 1 unit + 200
George --> 5/8 unit + 125
Eugene --> 9/8 unit + 25
9/8 unit + 25 = 5/8 unit + 125 + 320
1/8 unit --> 105
1 unit --> 840
cheers. -
Hi Tianzhu, need to trouble u with this question. Jim spent $80 and saved the rest of his allowance . When he increased his expenditure by 13 percent , his savings decreased by 20 percent . Find the ratio of the amount he saved to his allowance at first .
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Essential:
Hi Tianzhu, need to trouble u with this question. Jim spent $80 and saved the rest of his allowance . When he increased his expenditure by 13 percent , his savings decreased by 20 percent . Find the ratio of the amount he saved to his allowance at first .
Hi
Good Morning.
Amount spent ------ 80
% increase ------- 0.13*80 ------- 10.4
Increase in spending leads to decrease in savings
20% ------- 10.4
100% ------- 52 (savings@first)
Allowance@first ------- savings + spending -------- 52 + 80 ------- 132
ratio of the amount he saved to his allowance at first ------ 52/132 -------- 13/33
Best wishes -
Shimmer:
HiNeed help !
Thanks in advance !
The average height of 6 pupils was 170cm. The average height of the first 4 pupils was 15cm more than the average height of the remaining 2 pupils, Agnes and Tony.
A) find the average height of the remaining 2 pupils, Agnes and Tony.
B) Agnes was 25cm taller than Tony. Find Agnes's actual height.
Good Morning.
You may use MD or work using units.
Total height for 6 pupils -------- 170*6 -------- 1020
Average height ------ 1 box or 1 unit
Average height of the first 4 pupils ------- 1 unit + 15
15*4 -------- 60
1020 – 60 ------- 960
960/6 ------- 160 (average height for Agnes and Tony)
Total height for , Agnes and Tony ------- 160*2 ------- 320
320 – 25 ------- 295
295/2 ------- 147.5
147.5 + 25 ------- 172.5 (Agnes's actual height)
Best wishes
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