Q&A - P3 Math

[jieheng]

mama_10:

Jack has a total of 20 oranges and pears. If he exchanges every pear for 2 oranges, he will have 28 oranges. How many oranges and pears does he have ? (Heuristics : work backwards)


Pls help! Thks

No of Oranges No of Pears Total no of fruits
28 0 28
26 1 27

From the above data , we can see that ,

No of pears + Total no of fruits = 28

When total no of fruits = 20

no of pears = 28 -20 = 8 (Ans)

no of oranges = 20 - 8 = 12 (Ans)

[mama_10]

Hi JieHeng,


Thanks :thankyou:

[jieheng]

mama_10:

Hi JieHeng,


Thanks :thankyou:

Hi mama_10 ,

You are welcome.

[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.

[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.