Q&A - PSLE Math

[tianzhu]

zsqchx:

Thank you! Tianzhu and Jie Heng

Hi

You're welcome.

Best wishes.

[tianzhu]

jesschan:

This is a P5 maths question - not sure is this the correct place to post.


A man spent $1119 on a diamond using $50, $5 and $2 notes. The total number of notes used is 45. How many $50, $5 and $2 notes did he use?

I know how to solve it using Guess and Check - just wondering if there is a quicker method?

Hi jesschan

I did a quick check, is the answer, 20 pieces of $50, 23 pieces of $5 and 2 pieces of $2?

I’ll try to consolidate my thoughts at a later time to present the solution in more details if the answer is correct.

Best wishes

[jieheng]

zsqchx:

Thank you! Tianzhu and Jie Heng

You are welcome.

Regards,

[shurley197323]

Pls help.

In a school hall, a certai no of students can be arranged such that there are exactly 21 students per row. If the same no of students is arranged in rows of 16 students each. there will be 7 more rows and 8 students left over. How many students are there altogether?
Answer given is 504.
Thanks

[BeContented]

Let R be the number of rows.


21R = 16 (R+7) + 8
= 16R + 120
5R = 120
R = 24

So 21 * 24 = 504

Correct right?!?!

[jesschan]

tianzhu:

jesschan:

This is a P5 maths question - not sure is this the correct place to post.


A man spent $1119 on a diamond using $50, $5 and $2 notes. The total number of notes used is 45. How many $50, $5 and $2 notes did he use?

I know how to solve it using Guess and Check - just wondering if there is a quicker method?

Hi jesschan

I did a quick check, is the answer, 20 pieces of $50, 23 pieces of $5 and 2 pieces of $2?

I’ll try to consolidate my thoughts at a later time to present the solution in more details if the answer is correct.


Yes, it's correct.

Best wishes

[shurley197323]

cwc:

Let R be the number of rows.


21R = 16 (R+7) + 8
= 16R + 120
5R = 120
R = 24

So 21 * 24 = 504

Correct right?!?!

Hi. Thanks cwc. But why 5R = 120?
Why must 120 / 5 ?
How to explain? Thanks

[tianzhu]

shurley197323:

In a school hall, a certai no of students can be arranged such that there are exactly 21 students per row. If the same no of students is arranged in rows of 16 students each. there will be 7 more rows and 8 students left over. How many students are there altogether?

Hi

This question looks tricky at first glance, however, it can be rearranged into a familiar question.

Restate this question in another way, Try to view it from another angle and perspective.

In a school hall, a certain no of students can be arranged such that there are exactly 21 students per row. If the same no of students is arranged in rows of 16 students each, there will be 120 students left over. How many students are there altogether?

7 more rows of 16 students plus 8 will give 120.

Does it now look familiar to this question?

Mr Tan had some charity tickets. If he sends 4 tickets each to some companies, he will need 20 more tickets. However, if he sends 3 tickets each to the same companies, he will have a remainder of 50 tickets. How many tickets does he have?

Now the solution to your question

Difference in number of students per row ------ 21 - 16 ----- 5
Gap -------- 120
Number of rows --------120/5 ------24

Number of students --------- 24*21 ------- 504

Best wishes

[mvmir26]

Thank you very much for your help. Tianzhu.





quote=\"tianzhu\"]

mvmir26:

Anyone can help me with below questions:-
Mr Tan had a total of 350 ducks and chickens in his farm. After selling some ducks and chickens he had 100 of them left. The ratio of the number of chickens sold to the number of chickens left was 4:1. The number of ducks sold to the number of ducks left was 3:2. How many chickens were sold by Mr Tan?

Hi

This is a question on simultaneous concepts.

If a student is familiar with simultaneous equations, he/she may use it.

If not,solve it using the ‘Alphabet Method” or solve the equations pictorially.

Let’s begin using the “Alphabet Method”

Number of chickens sold ------ 4C
Number of chickens left ------ 1C

Number of ducks sold ------ 3D
Number of ducks left ------2D

5C + 5D ------350
1C + 1D ------70

1C + 2D ------ 100
1D -------30
1C ------40

Number of chicken sold --------4*40 ------160

Best wishes[/quote]

[shurley197323]

Thanks Tianzhu and cwc.