Q&A - P4 Math

[mmpiglet]

Hi Tianzhu,


I was looking at how you use the “Make A Supposition” method to solve a "Guess and Check" question.

I was trying to use the “Make A Supposition” method to solve the following question, but got stuck halfway through.

Bookmarks are sold at 4 for $5 and pens are sold at 3 for $4. Kenny bought an equal number of bookmarks and pens.He paid a total of $124. How many bookmarks and pens did he buy altogether ?

Can you show me how to solve using the “Make A Supposition” method ?

Thks

[tianzhu]

mmpiglet:

Hi Tianzhu,


I was looking at how you use the “Make A Supposition” method to solve a \"Guess and Check\" question.

I was trying to use the “Make A Supposition” method to solve the following question, but got stuck halfway through.

Bookmarks are sold at 4 for $5 and pens are sold at 3 for $4. Kenny bought an equal number of bookmarks and pens.He paid a total of $124. How many bookmarks and pens did he buy altogether ?

Can you show me how to solve using the “Make A Supposition” method ?

Thks

Hi

Good Afternoon.

First thing first, why do you want to consider “Make a Supposition” for this question?

I’d not use it. For questions involving “MS”, typically the total number and cost are given.

In your question, only the total cost is given.

You may use the “Grouping Concept”.

The key point to note is Kenny bought an equal number of bookmarks and pens. Bookmarks are sold in group of 4 and pens sold in group of 3.

For the pens and bookmarks to be equal in numbers, we need to start with a common multiple which is in this case 12 (3 and 4).

4 bookmarks ------ $5
12 bookmarks ------ $15 (3*5)

Likewise

3 pens ------ $4
12 pens ----- $16

Total cost for a group of 12 bookmarks and pens ------- 15+16 ------31

124/31 -------- 4

You’ve 4 groups of 12 bookmarks and pens.

48 bookmarks and 48 pens (96)

Best wishes

[mmpiglet]

Dear Tianzhu,


Thanks for showing me the method. My ds was taught MS during her tuition class and to reinforce what she had learnt, I’d picked some past year questions which look similar to the ones used for MS method. But now I realised that MS method can only be used for certain questions.

[elisammom]

Pls help this


2 boys have as many sweet as 3 girls. The total nos of sweets for 6 boys and 7 girls are 192. How many does each boy and girl has?
Thanks!

[MathIzzzFun]

elisammom:

Pls help this


2 boys have as many sweet as 3 girls. The total nos of sweets for 6 boys and 7 girls are 192. How many does each boy and girl has?
Thanks!

Hi

2 boys --> 6 units of sweets
1 boy --> 3 units of sweets

3 girls --> 6 units of sweets
1 girl --> 2 units of sweets

So, 6 boys + 7 girls --> 18 units + 14 units = 32 units of sweets
32 units of sweets --> 192
1 unit of sweets --> 6

Each boy has 18 sweets, each girl has 12 sweets

cheers.

[elisammom]

:udaman: :thankyou:

Thanks you sooooo much!
Cracking my head for days but can't solve..... Except using algebra method...;(

Thanks!

[MathIzzzFun]

elisammom:

:udaman: :thankyou:

Thanks you sooooo much!
Cracking my head for days but can't solve..... Except using algebra method...;(

Thanks!

u r welcome

cheers.

[tianzhu]

mmpiglet:

Dear Tianzhu,

Thanks for showing me the method. My ds was taught MS during her tuition class and to reinforce what she had learnt, I'd picked some past year questions which look similar to the ones used for MS method. But now I realised that MS method can only be used for certain questions.

Hi mmpiglet

Good Morning.

You may also want to let your child have a little more practice by doing these questions.

1)Guo Cong Min has 12 pets which consist of birds and hamsters. All the hamsters have 36 more legs than all the birds. How many of his pets are birds? (2 birds, 10 hamsters)

2)Hong Yuan has a total number of 25 tricycles and bicycles in a shop. If there are 61 wheels altogether, how many tricycles are there in the shop?
(14 bicycles, 11 tricycles)

3)Shu Hua has 8 coins that add up to $3.40. Some are 50¢ coins and the rest are 20¢ coins. How many 50¢ coins does Shu Hua have? (6)

4)There were 50 children in Xie Ming Ming’s party. Each boy ate 10 cookies. Each girl ate 7 cookies. All the girls ate 44 more cookies than all the boys. How many more girls than boys were there? (14)

5)Chun Hua visited a farm where she saw some ducks and goats. There were a total of 65 ducks and goats. She then counted the legs of the animals and found that there were 196 legs. How many ducks were there in the farm?(32)

6)Lincoln visited a farm where he saw some cows and ducks. There were 75 of them. He then counted the legs of the animals and found that there were 220. How many animals of each type were there in the farm? (35,40 )

7)In a Maths quiz, each pupil had to answer 20 questions. 5 points were given for each correct answer and 2 points were taken away from each wrong answer. Mirabel answered all questions and scored 79 points. How many questions did she answer correctly? (17)

8)I have 38 coins and they are made up of 50-cent and 20-cent coins. Their total value is $13.60. What is the ratio of the number of 20-cent coins to the number of 50-cent coins? (9:10)

9)There are some goats, chickens and cows in a farm. There are 3 times many chickens as cows. John finds out that among the animals, there are a total of 32 heads and 92 legs. How many goats are there? (18,6 ,8 )

10) In a quiz, there were 20 questions. 5 marks were awarded for each correct answer. 2 marks were deducted for each wrong answer. For questions that were unanswered, no marks were awarded or deducted. Mary scored 67 marks in the quiz. How many questions did she answer correctly?(15)

Best wishes

[mmpiglet]

Thanks Tianzhu,


I will let her try these questions.

[chloecube]

tianzhu:

mmpiglet:

Dear Tianzhu,

Thanks for showing me the method. My ds was taught MS during her tuition class and to reinforce what she had learnt, I'd picked some past year questions which look similar to the ones used for MS method. But now I realised that MS method can only be used for certain questions.

Hi mmpiglet

Good Morning.

You may also want to let your child have a little more practice by doing these questions.

1)Guo Cong Min has 12 pets which consist of birds and hamsters. All the hamsters have 36 more legs than all the birds. How many of his pets are birds?

2)Hong Yuan has a total number of 25 tricycles and bicycles in a shop. If there are 61 wheels altogether, how many tricycles are there in the shop?

3)Shu Hua has 8 coins that add up to $3.40. Some are 50¢ coins and the rest are 20¢ coins. How many 50¢ coins does Shu Hua have?

4)There were 50 children in Xie Ming Ming’s party. Each boy ate 10 cookies. Each girl ate 7 cookies. All the girls ate 44 more cookies than all the boys. How many more girls than boys were there?

5)Chun Hua visited a farm where she saw some ducks and goats. There were a total of 65 ducks and goats. She then counted the legs of the animals and found that there were 196 legs. How many ducks were there in the farm?

6)Lincoln visited a farm where he saw some cows and ducks. There were 75 of them. He then counted the legs of the animals and found that there were 220. How many animals of each type were there in the farm? (35,40 )

7)In a Maths quiz, each pupil had to answer 20 questions. 5 points were given for each correct answer and 2 points were taken away from each wrong answer. Mirabel answered all questions and scored 79 points. How many questions did she answer correctly? (17)

8)I have 38 coins and they are made up of 50-cent and 20-cent coins. Their total value is $13.60. What is the ratio of the number of 20-cent coins to the number of 50-cent coins? (9:10)

9)There are some goats, chickens and cows in a farm. There are 3 times many chickens as cows. John finds out that among the animals, there are a total of 32 heads and 92 legs. How many goats are there? (18,6 ,8 )

Best wishes

:celebrate: :lovesite: Tianzhu, you are a gem in KSP Thank you.