Q&A - PSLE Math

[Belle2011]

Lynn2:

Box A contains 50 cent coins and Box B contains $1 coins.Box A contains 17 more coins than Box B.The amount of money in Box A is $15.50 less than in Box B.Find the total amount of money in the boxes


Cheers
Lynn2

I use model:

A: [] + 17*0.5
B: [] + [] where [] is number of 50cts coins * 0.50

Since B-A is 15.5,
[] is 17*0.5 + 15.5 = 24.
Number of 50cts coins = 24/0.5 = 48.

Thus there are 48+17 = 65 of 50cts coins.

Is the above correct?

Thank-you.

Cheers,
Belle.

[Hifive]

tianzhu:

Hifive:

Karen made 120 more cookies than apple pies. After selling one third of the cookies and 25% of the apple pies, she had 70 more apple pies than cookies. What is the total number of cookies and apple pies that Karen made?

Hi

You may use MD to solve this question.

Some quick pointers for the MD.If needed, I’ll draw out the MD at a later time.

Cookies ----- 12 units + 120
Apple pies ------ 12 units

Cookies sold ------- 4 units + 40
Apple pies sold ------- 3 units

Cookies left ------ 8 units + 80
Apple pies left ------- 9 units

9 units ------- 8 units + 80 + 70
1 unit ------- 150

24 units -------- 3600
Total number -------- 3600+120 -------3720

Best wishes

Hi Tianzhu

Thanks for the explanation! Your explanation is very clear and I can manage with the models on my own. Thanks for your help!

[MathIzzzFun]

Lynn2:

Hi Tianzhu,


Thanks for the explanation.I will try to explain to dd .Can u help another similar question?

5 There were twice as many fifty cent coins as twenty cent coins in a coin box.Stephanie added in some ten cent coins into the coin box and the total amount became $11.30.If there were 9 more ten cent coins than twenty cent coins, how many coins of each type were in the coin box?

Thanks and good day.

Lynn2

tianzhu:

[quote=\"Lynn2\"]Box A contains 50 cent coins and Box B contains $1 coins.Box A contains 17 more coins than Box B.The amount of money in Box A is $15.50 less than in Box B.Find the total amount of money in the boxes

Hi

Assume or pretend that the number of coins in Box B is equal to that of Box A

17*1 ------ 17
17 + 15.5 ------- 32.5

Difference between $1 and 50 cents -------50 cents

3250/50 ------65 50 cents coins

Hence, 48 $1 coins

48 + 32.50 -------- 80.50

Best wishes

[/quote]Hi Lynn2

Hope this will help.


http://postimage.org/image/drdoc9wk/

cheers.

[ozora]

MathIzzzFun:

ozora:

[quote=\"MathIzzzFun\"]
Hi ozora,

Aaron had 8 units + 8, so 1/8 = 1/8 of 8 units + 1/8 of 8 = 1 unit + 1

cheers

[/quote]oic
thanks

[tianzhu]

Hifive:

Hi Tianzhu

Thanks for the explanation! Your explanation is very clear and I can manage with the models on my own. Thanks for your help!

Hi

You're welcome.

Best wishes

[tianzhu]

Belle2011:

Is the above correct?

Hi Belle

You are on the right track.

You have to convert to value of money for the answer.

Best wishes

[Lynn2]

Hi MathIzzzFun



Thanks, I will show it to dd to see she can understand.

This kind of coins questions has been stuck in her since pri five, no matter how I try to explain to date, still cannot clear.Other topics, all can clear, cos she understand.
In the recent exam, she has to do 18 times of guess and check just to get the answer.I think its quite a waste of time tho she eventually gets the answer.


Cheers


Hi Tianzhu,

Thanks for the explanation.I will try to explain to dd .Can u help another similar question?

5 There were twice as many fifty cent coins as twenty cent coins in a coin box.Stephanie added in some ten cent coins into the coin box and the total amount became $11.30.If there were 9 more ten cent coins than twenty cent coins, how many coins of each type were in the coin box?

Thanks and good day.

Lynn2

tianzhu:

Lynn2:

Box A contains 50 cent coins and Box B contains $1 coins.Box A contains 17 more coins than Box B.The amount of money in Box A is $15.50 less than in Box B.Find the total amount of money in the boxes

Hi

Assume or pretend that the number of coins in Box B is equal to that of Box A

17*1 ------ 17
17 + 15.5 ------- 32.5

Difference between $1 and 50 cents -------50 cents

3250/50 ------65 50 cents coins

Hence, 48 $1 coins

48 + 32.50 -------- 80.50

Best wishes

[/quote]

Hi Lynn2

Hope this will help.


http://postimage.org/image/drdoc9wk/

cheers.[/quote]

[Lynn2]

Hi MathIzzzFun



Thanks, I will show it to dd to see she can understand.

This kind of coins questions has been stuck in her since pri five, no matter how I try to explain to date, still cannot clear.Other topics, all can clear, cos she understand.
In the recent exam, she has to do 18 times of guess and check just to get the answer.I think its quite a waste of time tho she eventually gets the answer.


Cheers


Hi Tianzhu,

Thanks for the explanation.I will try to explain to dd .Can u help another similar question?

5 There were twice as many fifty cent coins as twenty cent coins in a coin box.Stephanie added in some ten cent coins into the coin box and the total amount became $11.30.If there were 9 more ten cent coins than twenty cent coins, how many coins of each type were in the coin box?

Thanks and good day.

Lynn2

tianzhu:

Lynn2:

Box A contains 50 cent coins and Box B contains $1 coins.Box A contains 17 more coins than Box B.The amount of money in Box A is $15.50 less than in Box B.Find the total amount of money in the boxes

Hi

Assume or pretend that the number of coins in Box B is equal to that of Box A

17*1 ------ 17
17 + 15.5 ------- 32.5

Difference between $1 and 50 cents -------50 cents

3250/50 ------65 50 cents coins

Hence, 48 $1 coins

48 + 32.50 -------- 80.50

Best wishes

[/quote]

Hi Lynn2

Hope this will help.


http://postimage.org/image/drdoc9wk/

cheers.[/quote]

[Dharma]

Lynn2:

Hello all,


Can someone pls help this question.Have tried to teach dd to use set method to do this question, but always ended up using guess and check which is very time consuming.She cannot understand the explanation even I tried .

Any kind soul can help?
Here it goes:

1 Box A contains 50 cent coins and Box B contains $1 coins.Box A contains 17 more coins than Box B.The amount of money in Box A is $15.50 less than in Box B.Find the total amount of money in the boxes

Thanks and sure hope dd can clear this type of question.

Cheers
Lynn2

Difference in number of coins => 1u - 1p = 17
Difference in the value of the coins => 100cents (1p) – 50(1u) = 1550
100p - 50u = 1550
2p – 1u = 31
1p = 17 + 31 = 48
1u = 48 + 17 = 65

Total amount of money = (65) x 50 cents + (48 ) x 100 cents = 8050 cents = $80.50

[Lynn2]

Hi Dharma,


Thank you for showing me another way in looking at this question.

Will walk thr the various methods that ksp has worked out and see whether she can see it.She believe in able to understand it rather than route learning.


Thanks.



cheers

Dharma:

Lynn2:

Hello all,

Can someone pls help this question.Have tried to teach dd to use set method to do this question, but always ended up using guess and check which is very time consuming.She cannot understand the explanation even I tried .

Any kind soul can help?
Here it goes:

1 Box A contains 50 cent coins and Box B contains $1 coins.Box A contains 17 more coins than Box B.The amount of money in Box A is $15.50 less than in Box B.Find the total amount of money in the boxes

Thanks and sure hope dd can clear this type of question.

Cheers
Lynn2

Difference in number of coins => 1u - 1p = 17
Difference in the value of the coins => 100cents (1p) – 50(1u) = 1550
100p - 50u = 1550
2p – 1u = 31
1p = 17 + 31 = 48
1u = 48 + 17 = 65

Total amount of money = (65) x 50 cents + (48 ) x 100 cents = 8050 cents = $80.50