Q&A - P3 Math

[jieheng]

Jenlimtz:

Pls help:


1) Veronica has $100. Racheal had $30. Veronica gave some money to Rachel. In the end, she had $40 more than Rachael. How much money did Rachel have in the end?

2) Mr Wong gave her 3 grand children, Janet, Simon and Alicia a sum of money. Janet received 3/7 as much as Alicia. Simon received the same amount of money as Alicia. If Janet received $180 from her grandfather, how much must Simon and Alicia each give to Janet so that all three children have the same amount of money?

TIA.

Q1)

V [ 100 ]

R [ 30]

Total = 100 + 30 =130

V [ ][40]

R [ ]

[ ] + [ ][40] = 130
[ ]= (130 - 40) / 2 = 45

In the end , Rachel had $45 (Ans)


Q2)

Janet [ ][ ][ ] 3u
Alicia [ ][ ][ ][ ][ ][ ][ ] 7u
Simon[ ][ ][ ][ ][ ][ ][ ] 7u

3u -------> 180
1u -------> 60

7u -------> 7 * 60 = 420

Total amount of money = 3u + 7u + 7u = 17u = 17 * 60 = 1020

Each of them had the same amount of money = 1020 / 3 = 340

In order for all three children have the same amount of money ,

The amount of money that Simon and Alicia should give to Janet = 420 - 340 = $ 80 (Ans)

[Jenlimtz]

Hi Jieheng


Thanks a lot!

[jieheng]

Jenlimtz:

Hi Jieheng


Thanks a lot!

Hi Jenlimtz ,

You are welcome.

Regards,

[Greatly Blessed]

OO+{}{}{}=520

O+{}=186
OOOO+{}{}{}=_____

What’s the answer pls? Tks.

[small]

Greatly Blessed:

OO+{}{}{}=520

O+{}=186
OOOO+{}{}{}=_____

What's the answer pls? Tks.

Hi,

Hope this helps.

OO+{}{}{}=520 --- (1)
O+{}=186 --- (2)

substitute (2) into equation (1):
{}+186+186=520
{}= 520 - 372
{}=148

so from equation (2):
O=186-148
O=38

Thus :OOOO+{}{}{} --> O+{}+O+{}+O+{}+O
=186 +186 + 186 + 38
=596

[Greatly Blessed]

Hi Small

Thank you, thank you

Didn’t know that I can actually put "+" between OO and {}{}{}.

The steps you’ve provided are so clear and easy to understand.

Thanks again.

[bookwormkids]

Q1)

Basket A and B have the same mass when empty. When 63 eggs are put into Basket A, it weighs 1kg 8g. When 54 eggs are put into Basket B, it weighs 891g. What is the mass of the empty basket? [Ans: 189g]

Q2)
2 similar boxes contained some marbles. Box A with 18 marbles weighed 250g. Box B with 23 similar marbles weighed 55g more.
a) How much did one marble weigh? [Ans: 11g]
b) How much did each box weigh? [Ans: 52g]

Q3)
Basket X and Basket Y are the same mass. The total mass of Basket X together with 25 balls is 1kg 200g. The total mass of Basket Y together with 15 balls is 800g. All the balls are identical.
a) Find the mass of 1 ball. [Ans: 40g] (I keep getting 50g)
b) Find the mass of the basket. [Ans: 200g]

Pls help. Thanks.

[bookwormkids]

Q44)

The Total mass of Alex, James and Richard is 146 kg.
Alex is 9 kg heavier than James and 16 kg heavier than Richard.
What is Alex’s mass?

(My kid and I are stuck with sentence 2. How to show in a model?)

Q45)
A box of sweets was shared equally among a group of 30 pupils.
5 of them gave all their sweets equally to the rest of the pupils.
As a result, the rest of the pupils received 2 more sweets each.
How many sweets were there in the box?

Could you show me how to explain to a P4 kid?

Many thanks for your time.

[jieheng]

bookwormkids:

Q44)

The Total mass of Alex, James and Richard is 146 kg.
Alex is 9 kg heavier than James and 16 kg heavier than Richard.
What is Alex's mass?

(My kid and I are stuck with sentence 2. How to show in a model?)

Q45)
A box of sweets was shared equally among a group of 30 pupils.
5 of them gave all their sweets equally to the rest of the pupils.
As a result, the rest of the pupils received 2 more sweets each.
How many sweets were there in the box?

Could you show me how to explain to a P4 kid?

Many thanks for your time.

Q44)

Among the three persons , Richard's mass is the lightest .

Make the Richard's mass to 1 unit

R [-------] (1u)

.J [-------][--7--] (1u+7)

A [-------][--7--][--9--] (1u+7+9)

total mass -----> 146

1u + 1u+7 + 1u+7+9 -----> 146

3u + 23 -----> 146

3u -----> 123

1u -----> 41

the mass of Alex is = 1u+7+9 = 41+7+9 = 57 kg (Ans)

Q45)

total 30 pupils

5 pupils

the rest of the pupils = 30 - 5 = 25

the rest of the pupils received 2 more sweets each ,

total number of sweets that the rest of pupils received = 2 * 25 = 50

the number of sweets that was given by each of the 5 pupils = 50 / 5 = 10

the number of the sweets were in the box = 10 * 30 = 300

[bookwormkids]

jieheng:

bookwormkids:

Q44)

The Total mass of Alex, James and Richard is 146 kg.
Alex is 9 kg heavier than James and 16 kg heavier than Richard.
What is Alex's mass?

(My kid and I are stuck with sentence 2. How to show in a model?)

Q45)
A box of sweets was shared equally among a group of 30 pupils.
5 of them gave all their sweets equally to the rest of the pupils.
As a result, the rest of the pupils received 2 more sweets each.
How many sweets were there in the box?

Could you show me how to explain to a P4 kid?

Many thanks for your time.

Q44)

Among the three persons , Richard's mass is the lightest .

Make the Richard's mass to 1 unit

R [-------] (1u)

.J [-------][--7--] (1u+7)

A [-------][--7--][--9--] (1u+7+9)

total mass -----> 146

1u + 1u+7 + 1u+7+9 -----> 146

3u + 23 -----> 146

3u -----> 123

1u -----> 41

the mass of Alex is = 1u+7+9 = 41+7+9 = 57 kg (Ans)

Q45)

total 30 pupils

5 pupils

the rest of the pupils = 30 - 5 = 25

the rest of the pupils received 2 more sweets each ,

total number of sweets that the rest of pupils received = 2 * 25 = 50

the number of sweets that was given by each of the 5 pupils = 50 / 5 = 10

the number of the sweets were in the box = 10 * 30 = 300

Thanks Jieheng for your explanation.