Q&A - PSLE Math

[jieheng]

Mary Joy:

Pls help me to solve this question....


1.At a theme park,each adult ticket cost $60 per day,while each child ticket cost $45 per day. On Saturday,the number of adult tickets sold was 90 fewer than the number of child tickets.On Sunday,the number of adult tickets sold decreased by 25%,while the number of child tickets sold increased by 20%.If a total of 576 tickets were sold on Sunday,how much money was collected on Saturday?

This question is taken from Nanyang Primary School, First continual examination 2012, Primary 6 Mathematics paper 2,Question 11

Sat
A 100u
C 100u + 90

Sun
A 100u - 25u = 75u
C 100u + 90 + 20u + 18 = 120u + 108


75u + 120u + 108 --> 576
195u --> 468
1u --> 2.4


Sat
A 100u --> 100*2.4 = 240
C 100u + 90 --> 100*2.4 + 90 = 330

The money collected on Saturday = 240*$60 + 330*$45 = $29250 (Ans)

[ozora]

need some help in these question.

Jean had some stamps. She gave 1/3 of her stamps plus 6 more. she gave Liz 1/3 of her remaining stamps plus 4 more. If Jean finally had half as many stamps as Liz, how many stamps did Kay receive? my answer is 15.
Besides model drawing, how to use unitary method to solve?
is it similiar to http://www.kiasuparents.com/kiasu/forum/viewtopic.php?f=69&t=280&start=8620?

[MathIzzzFun]

ozora:

need some help in these question.

Jean had some stamps. She gave Kay 1/3 of her stamps plus 6 more. she gave Liz 1/3 of her remaining stamps plus 4 more. If Jean finally had half as many stamps as Liz, how many stamps did Kay receive? my answer is 15.
Besides model drawing, how to use unitary method to solve?
is it similiar to http://www.kiasuparents.com/kiasu/forum/viewtopic.php?f=69&t=280&start=8620?

\"Kay\" was missing in the question - I have inserted as shown in blue above.

Jean --> 9 units
Kay --> 3 units + 6
Remainder --> 6 units - 6

Liz --> 2 units - 2 + 4 = 2 units + 2
Jean --> 4 units -4 - 4 = 4 units - 8
Jean had half as many as Liz
8 units - 16 = 2 units + 2
6 units --> 18, 1 unit --> 3

Kay --> 15
cheers.

[Easy-going]

Hi

My son has this difficult question. I hope someone can help us.

Qn 32 Alfred and Benedict were given some money each. If Alfred spent $45 each week and Benedict spent $90 each week, Alfred would still have $840 left when Benedict spent all his money. If Alfred spent $90 each week and Benedict spent $45 each week, Alfred would still have $210 left when Benedict had spent all his money.
a) How much money did Alfred receive?
b) How much money did Benedict receive?

Thanks in advance.

[smileplease]

Need help, i need Unitary Method solution. Thanks.


Lena and Terry shared a sum of money. Lena’s share was $180 less than Terry’s share.
After Terry gave 1/7 of his share to Lena, Lena had $20 more than Terry.
How much did Lena have at first?

[MathIzzzFun]

smileplease:

Need help, i need Unitary Method solution. Thanks.


Lena and Terry shared a sum of money. Lena's share was $180 less than Terry's share.
After Terry gave 1/7 of his share to Lena, Lena had $20 more than Terry.
How much did Lena have at first?

In the end,
Terry --> 6 units
Lena --> 6 units + $20

At first,
Terry --> 7 units
Lena --> 5 units + $20
Terry had $180 more than Lena,
7 units = 5 units + $20 + $180
1 unit --> $100

At first, Lena --> $520

cheers.

[MathIzzzFun]

Easy-going:

Hi

My son has this difficult question. I hope someone can help us.

Qn 32 Alfred and Benedict were given some money each. If Alfred spent $45 each week and Benedict spent $90 each week, Alfred would still have $840 left when Benedict spent all his money. If Alfred spent $90 each week and Benedict spent $45 each week, Alfred would still have $210 left when Benedict had spent all his money.
a) How much money did Alfred receive?
b) How much money did Benedict receive?

Thanks in advance.

This was discussed on pg 856 -
http://www.kiasuparents.com/kiasu/forum/viewtopic.php?f=69&t=280&p=942633&hilit=4%20approaches#p942633

cheers

[mathnoobs]

I was going through some old posts and saw this problem which I'm very confused on what it means:


Siti had some money. She gave some money to Kelly and Lindy and saved the rest. The ratio of her savings to the amount she gave away was 5: 8. The ratio of Kelly's money to Lindy's money was 5: 3 at first. After Kelly's money increased by $128 and Lindy's money decreased by $128, the ratio of Kelly's money to Lindy's money became 3: 1. How much money did Siti save?

Mathizzfun, you've provided a solution in http://www.kiasuparents.com/kiasu/forum/viewtopic.php?f=68&t=25129&start=1240
However, I don't quite understand the solution.
Siti's savings : Kelly's money : Lindy's money
--> 5u: 5u : 3u

I understood that:
Siti's original sum of money(Before) - money given to Kelly and Lindy = Siti's savings (After)
Thus Siti's Savings (After) = 5u
Money given to Kelly and Lindy = 8u
Siti's original sum of money (Before) = 13u
Based on this, I don't quite understand how you equate 5u:5u:3u.
There seems to be no relationship between Siti's 5u (After) and Kelly:Lindy ratio (5:3) (Before)

I also have a query on this part:
Kelly's money : Lindy's money --> 5u + $128 : 3u - $128 = 3 : 1
From the question, it seems that Kelly's money (After) = 5u + 128 + amt given by Siti
and Lindy's money (After) = 3u - 128 + amt given by Siti
what happened to the amount given by Siti ? :?

[MathIzzzFun]

mathnoobs:

I was going through some old posts and saw this problem which I'm very confused on what it means:


Siti had some money. She gave some money to Kelly and Lindy and saved the rest. The ratio of her savings to the amount she gave away was 5: 8. The ratio of Kelly's money to Lindy's money was 5: 3 at first. After Kelly's money increased by $128 and Lindy's money decreased by $128, the ratio of Kelly's money to Lindy's money became 3: 1. How much money did Siti save?

Mathizzfun, you've provided a solution in http://www.kiasuparents.com/kiasu/forum/viewtopic.php?f=68&t=25129&start=1240
However, I don't quite understand the solution.
Siti's savings : Kelly's money : Lindy's money
--> 5u: 5u : 3u

I understood that:
Siti's original sum of money(Before) - money given to Kelly and Lindy = Siti's savings (After)
Thus Siti's Savings (After) = 5u
Money given to Kelly and Lindy = 8u
Siti's original sum of money (Before) = 13u
Based on this, I don't quite understand how you equate 5u:5u:3u.
There seems to be no relationship between Siti's 5u (After) and Kelly:Lindy ratio (5:3) (Before)

I also have a query on this part:
Kelly's money : Lindy's money --> 5u + $128 : 3u - $128 = 3 : 1
From the question, it seems that Kelly's money (After) = 5u + 128 + amt given by Siti
and Lindy's money (After) = 3u - 128 + amt given by Siti
what happened to the amount given by Siti ? :?

My interpretation of the question is:

http://i49.tinypic.com/15hledl.png\">

cheers.

[ftwm]

2/5 of my sister’s beads are yellow. 7/13 of the remaining beads are green. The rest of the beads are black. If there are 32 more yellow beads than black beads, how many beads are green?