Q&A - P5 Math

[Muffins]

Bunny27:

Needs help;

1/5 of Steven's age is 1/7 of Derek's age. In 6 years' time, their total age will be 72 years.
A) what is their total age now?
B) how old will Derek be in 6 years' time?

Thanks.

So, from the question, we get this - Derek = 7 units, Steven = 5 units.

Thus, 12 units + 12 (have to add 6 to BOTH of them, thus 12) = 72

So 12 units = 60 → answer to part A

1 unit = 5

Thus, Derek's age now → 5*7 = 35

So in 6 years time, he would be → 35 + 6 = 41

[Bunny27]

Pls assist me this question:


Jane has $60 more than Candice. If Candice gives Jane $20, the amount of money Jane has will be thrice that of Candice’s. How much does each of them have ?

Thank u:)

[HeSheMe]

Bunny27:

Pls assist me this question:


Jane has $60 more than Candice. If Candice gives Jane $20, the amount of money Jane has will be thrice that of Candice's. How much does each of them have ?

Thank u:)

Draw a model to solve this question.

You will realise that two units are actually $20+$20+$60 which is $100.

Alternatively at last Candice has one unit. If she didn't give she would have 1u + $20. And as for Jane, if she didn't receive, she would have 3u - $20.

And that you know that Jane has $60 more than Candice. So that means that

1u + $20 = 3u - $20 - $60
$20 + $20 + $60 = 2u
2u = $100
1u = $50

Candice: $50 + $20 = $70
Jane: $70 + $60 = $130

[blueymum]

Dear all…


Need some help with the following question.

When a tin of paint is 1/2 full, it weighs 5kg.
When it is 1/3 full, it weighs 4kg. What is the weight of tin when it is full?


Thank you!!

[MathIzzzFun]

blueymum:

Dear all..


Need some help with the following question.

When a tin of paint is 1/2 full, it weighs 5kg.
When it is 1/3 full, it weighs 4kg. What is the weight of tin when it is full?


Thank you!!

Hi

Total 6 units of paint when full ( common multiple of 2 & 3)
[Empty Tin][3 units of paint] = 5kg
[Empty Tin][2 units of paint] = 4 kg
1 unit of paint = 5 - 4 = 1kg
So, total mass of the tin when full = 5 kg + 3 units of paint = 5 kg + 3 kg = 8 kg

cheers.

[blueymum]

Thanks so much.


Would it be possible to use model to solve? The teacher has asked the students to solve using the model approach.

Thanks once again.

[MathIzzzFun]

blueymum:

Thanks so much.


Would it be possible to use model to solve? The teacher has asked the students to solve using the model approach.

Thanks once again.

Hi

yes.. as per the solution..

empty tin = big block
paint = 6 smaller blocks

First model - big block + 3 smaller blocks with 3 dotted blocks = 5 kg
2nd model - big block + 2 smaller blocks with 4 dotted blocks = 4 kg

cheers.

[Winx5015]

Hello,


Need help for the following questions.

Q1). In a basket, the ratio of the number of apples to the number of oranges to the number of pears is 2:6:7. Express the number of oranges as a fraction of the total number apples and pears in the basket.(Write the fraction in its simplest form)

Q2). Jim has some 50-cent and 20-cent coins. He has less than 65 50-cent coins and more 50-cents coins than 20-cent coins. The total value of the 50-cent coins and 20-cent coins that he has is $43.20. What is the least possible number of 50-cent coins that he has?

Thanks!

[corneyAmber]

Winx5015:

Hello,


Need help for the following questions.

Q1). In a basket, the ratio of the number of apples to the number of oranges to the number of pears is 2:6:7. Express the number of oranges as a fraction of the total number apples and pears in the basket.(Write the fraction in its simplest form)

Q2). Jim has some 50-cent and 20-cent coins. He has less than 65 50-cent coins and more 50-cents coins than 20-cent coins. The total value of the 50-cent coins and 20-cent coins that he has is $43.20. What is the least possible number of 50-cent coins that he has?

Thanks!

Q1: Fraction of apples+ pears = (2+7)/15 = 9/15
Fraction of oranges = 6/15
Oranges / apples+pears = (6/15) / (9/15) = 6/9 = 2/3

Q2: Guess and check:
$0.50______$0.20
64_______56
60_______66
62_______61

So least possible number of $0.50 is 62

[Muffins]

Winx5015:

Hello,


Need help for the following questions.

Q1). In a basket, the ratio of the number of apples to the number of oranges to the number of pears is 2:6:7. Express the number of oranges as a fraction of the total number apples and pears in the basket.(Write the fraction in its simplest form)

Q2). Jim has some 50-cent and 20-cent coins. He has less than 65 50-cent coins and more 50-cents coins than 20-cent coins. The total value of the 50-cent coins and 20-cent coins that he has is $43.20. What is the least possible number of 50-cent coins that he has?

Thanks!

Hi.

In your Question 1, your question is a little ambiguous. If you want it as a fraction of only the apples and pears, then the answer would be 6/13. If you want it as a fraction of all 3, then the answer is 2/5.