Q&A - PSLE Math

[tianzhu]

Spongy:

2. Alan and Ben were given some money each. If Alan spent $45 each week and Ben spent $90 each week, Alan would still have $840 left when Ben spent all his money. If Alan spent $90 each week and Ben spent $45 each week, Alan would still have $210 left when Ben had spent all his money. How much money did Alan receive?

Hi

Please refer to this similar type of question.

You may apply the same strategy to your question.

The answer to your question is $1050.

Best wishes

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[tianzhu]

Spongy:

1. Alan's monthly income is $250 more than Clare but their monthly expenditure are the same. Over a certain period of time, Alan has saved $1350 but Clare saved only $600. Given that each of them spends $500 a month, how long does Clare take to save $600?

Hi

1350 – 600 ------ 750

750/250 ------ 3

Clare takes 3 months to save $600.

Best wishes

[2cor41618]

Spongy:

3.Mrs Lim spend $834 on some pants and shirts. The amount of money spent on the pants was $66 more than the amount of money spent on the shirts. She bought 3/4 times as many pants as shirts. Each shirt cost $9 lesser than each pants. What was the total number of pants and shirts bought by Mrs Lim?

Amt spent on pants-->($66 + $834)/2 =$450
Amt spent on shirts-->$450 - $66 = $384

Pants: Shirts= 3u : 4u

3u of pants cost $450
1u of pants cost $150

4u of shirts cost $384
1u of shirts cost $96

Diff btw 1u of pants and 1u of shirts--> $150 - $96 = $54
Diff btw 1 pants and 1 shirt --> $9

Thus, 1u--> $54/$9 = 6

Total number of pants and shirts--> 6 x 7 = 42

Ans: 42

[MathIzzzFun]

Spongy:

Hi its me again asking 3 questions this time thank you very much!



2. Alan and Ben were given some money each. If Alan spent $45 each week and Ben spent $90 each week, Alan would still have $840 left when Ben spent all his money. If Alan spent $90 each week and Ben spent $45 each week, Alan would still have $210 left when Ben had spent all his money. How much money did Alan receive?

Hi

for Q2, I have posted the common approaches at http://www.kiasuparents.com/kiasu/forum/viewtopic.php?f=69&t=280&start=6410

re-posting here...
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http://i46.tinypic.com/ejvktd.png\">

cheers.

[Michaelia0816]

I got a hard question, pls help me .

There were a total of 20800 sacks of rice in warehouse x and y.after 3/4 of the stock in x and 3/5 in y were sold. There were 1040 more sacks of rice in y than x. How many sacks of rice were there in each warehouse at first?

Answer:
Warehouse X:
Warehouse Y:

[tianzhu]

Michaelia0816:

I got a hard question, pls help me .

There were a total of 20800 sacks of rice in warehouse x and y.after 3/4 of the stock in x and 3/5 in y were sold. There were 1040 more sacks of rice in y than x. How many sacks of rice were there in each warehouse at first?

Answer:
Warehouse X:_____
Warehouse Y:_____

Hi

This question looks familiar.

A neat way is to use MD.

Warehouse X

Left ------- 2 units
Sold ------- 6 units

Warehouse Y

Left ------- 2 parts
Sold ------- 3 parts

There were 1040 more sacks of rice in Y than X.

Hence, 1 part ------ 1 unit + 520

8 units + 5 units + 2600 ------- 20800

1 unit -------- 1400

X ------- 8*1400 ------- 11200

Y ------- 20800 – 11200 ------ 9600

Best wishes

[she0407]

Need help in this Q.


A fruit seller has 60 more oranges than apples. After he sold 75% of the oranges and 60% of the apples, he is left with 9 more apples than oranges.
(a) How many apples does he have at first?
(b) What fraction of the fruits left were oranges?

Thanks in advances!

[Maths Hub]

Let there be 4 units of oranges and 5 parts of apples

4 units ------------ 5 parts + 60
1 unit + 9 -------- 2 parts implies
4 units + 36 ----- 8 parts therefore
3 parts ----------- 96 apples
(a) apples at first 5 parts ----- 160 apples
(b) 64 apples left and 55 oranges left
55/119 of fruits left were oranges

[Michaelia0816]

Thanks, Tianzhu!!!

[AJH]

Thank you very much, 2cor41618 - your explanations are very clear.


I nd help with these questions:

1. At first, Ashley had 550 marbles altogether. There were 3/8 as many blue marbles as yellow marbles. Later, she bought some blue marbles. For every 4 yellow marbles she had, her father gave her 25 more yellow marbles. The total number of yellow marbles then became 1 and 2/3 times that of the blue marbles. How many blue marbles did she have in the end?

For this question,my workings so far:

11u - 550 marbles
1u - 50 marbles
8u - 400 marbles

400 yellow marbles - so, Ashley's father gave her 2500 more yellow marbles.

I'm stuck here. :scratchhead:

2. There are 4 adults. Each time, 2 adults are weighed, giving a total of 6 readings, in kg as listed below:

103.5, 111, 112.5, 117, 118, 122

What is the average mass of the 4 adults?

Thank you.