Q&A - PSLE Math

[tianzhu]

woodlands mama:

1. Julian had 300 more cards than Faizal. Julian gave 3/5 of his cards to Faizal. Faizal than gave 1/4 of the total number of what he had then to Julian. In the end, Faizal had 300 more cards than Julian. How many cards did Julian have at first?

Hi

I suggest you use MD to solve this question. Please follow the following steps.

At First
Julian ------- 5 units + 300
Faizal ------- 5 units
\t
After Julian gave 3/5 of his cards to Faizal.
Julian ------ 2 units + 120
Faizal ----- 5 units + 3 units + 180 ----- 8 units + 180

After Faizal than gave 1/4 of the total number of what he had then to Julian.
Julian ------- 2 units + 120 + 2 units + 45 ------- 4 units + 165
Faizal ------- 6 units + 135
\t
In the end, Faizal had 300 more cards than Julian.
4 units + 165 + 300 ------ 6 units + 135
2units ------- 330
1 unit ------- 165

At First
Julian ------ 5 units + 300 ------ (5*165) + 300 ------1125

Best wishes

[bellerina]

Please help on this Q! Thanks!


Jack packed his books into 2 boxes, Box A & Box B.
He packed (4/5) as many books in Box A as Box B at 1st.
After transferring 16 books from Box B to Box A, there are now (3/4) as many books in Box B as Box A.
How many books were there in each box at 1st?

[Yu Xuan]

bellerina:

Please help on this Q! Thanks!


Jack packed his books into 2 boxes, Box A & Box B.
He packed (4/5) as many books in Box A as Box B at 1st.
After transferring 16 books from Box B to Box A, there are now (3/4) as many books in Box B as Box A.
How many books were there in each box at 1st?

Hi, this is internal transfer with unchange total.
Equate the total of both A & B before and after the transfer;

Before
A : B
4 : 5
28 : 35 Total --> 63

After
A : B
4 : 3
36 : 27 Total --> 63

Using A;
36u - 28u --> 16
8u --> 16
1u --> 16 / 8 = 2

At first;
A--> 2 * 28 = 56
B --> 2 * 35 = 70

[Happy Mama]

Hi, can someone please help on the question below? Many thanks.


Question :
There are $5 notes, $2 notes, 50 cent coins and 20 cent coins found in a cash register. The total number of coins is 5/8 of the total number of notes. There are 36 more notes than the number of coins. The number of 20 cent coins is 1/3 of the number of 50 cent coins. The number of $5 notes is twice the number of $2 notes. What is the total value of all the notes and coins in the cash register?

[small]

Hi Happy Mama, Please find the solution.


http://s4.postimage.org/b98chbgz3/Coins_and_notes.jpg\">

[Mum1113]

small:

Hi Happy Mama, Please find the solution.


http://s4.postimage.org/b98chbgz3/Coins_and_notes.jpg\">

hello small - can u share the solution ? I can't see anything :?

[Happy Mama]

small:

Hi Happy Mama, Please find the solution.


http://s4.postimage.org/b98chbgz3/Coins_and_notes.jpg\">

Thank you, small, for coming to the rescue, but I am not able to see your solution. Can you please re-post? Many thanks.

[small]

Hi Happy Mama,


The answer should be $409.50. I have pasted the link for your reference, see if you can download.

http://s4.postimage.org/b98chbgz3/Coins_and_notes.jpg

:oops:

[Happy Mama]

small:

Hi Happy Mama,


The answer should be $409.50. I have pasted the link for your reference, see if you can download.

http://s4.postimage.org/b98chbgz3/Coins_and_notes.jpg

:oops:

:thankyou: very much, small...

[bellerina]

Yu Xuan:

bellerina:

Please help on this Q! Thanks!


Jack packed his books into 2 boxes, Box A & Box B.
He packed (4/5) as many books in Box A as Box B at 1st.
After transferring 16 books from Box B to Box A, there are now (3/4) as many books in Box B as Box A.
How many books were there in each box at 1st?

Hi, this is internal transfer with unchange total.
Equate the total of both A & B before and after the transfer;

Before
A : B
4 : 5
28 : 35 Total --> 63

After
A : B
4 : 3
36 : 27 Total --> 63

Using A;
36u - 28u --> 16
8u --> 16
1u --> 16 / 8 = 2

At first;
A--> 2 * 28 = 56
B --> 2 * 35 = 70

:thankyou: ~ Yu Xuan!