Question 1
A tin contains 8 litre of paint. 5/8 of it are used to paint 4 wooden tables and 2 chairs.
If the amount of paint needed to paint a wooden table is twice that of a chair, how many chairs can be painted using the remaining paint?

Question 2
Rani had to take an equal number of pills each day when she was ill. After 5 days, she had 2/3 of the pills left. After another 7 days, she had 21 pills left. How many pills had she at first ?

Question 3
A fruit seller had a total of 252 apples and oranges. After he had sold 1/4 of the apples and 7/8 of the oranges, he had an equal number of apples and oranges left.
(a) How many apples did he have at first?
(b) How many oranges does he have now?

Question 4
Elsie had $320 less than Grace. Else gave Grace $170. Now the ratio of Elsie's money to Grace's money is 3:5. How much money did Elsie have at first ?

Kindly help with model drawing. Thanks

Mavis Lee wrote:
Question 1
A tin contains 8 litre of paint.5/8 of it are used to paint 4 wooden tables and 2 chairs.
If the amount of paint needed to paint a wooden table is twice that of a chair, how many chairs can be painted using the remaining paint?
5/8 of 8 litres = 5 litres
5 litres -> 4 wooden tables + 2 chairs
Given that amount of paint needed to paint 1 wooden table = 2 chairs
5 litres -> 8 chairs + 2 chairs = 10 chairs
Remaining paint = 3 litres -> 10/5x3 = 6 chairs can be painted.
6 chairs can be painted using the remaining paint.

Mavis Lee wrote:
Question 2
Rani had to take an equal number of pills each day when she was ill.After 5 days, she had 2/3 of the pills left.After another 7 days, she had 21 pills left.How many pills had she at first ?
1/3 of the pills taken by Rani for 5 days.
1 day -> 1/15 of the pills taken by Rani
12 days -> 12/15 of the pills taken by Rani
After 12 days, 3/15 of the pills was left
3/15= 1/5
1/5 of the pills -> 21
Pills at first-> 21x5 = 105

Number of pills that Rani had at first = 105

Mavis Lee wrote:
Question 3
A fruit seller had a total of 252 apples and oranges. After he had sold 1/4 of the apples and 7/8 of the oranges, he had an equal number of apples and oranges left.
(a) How many apples did he have at first?
(b) How many oranges does he have now?
Left
Apples: 3/4
Oranges: 1/8 = 3/24

Before
Apples: 4u
Oranges: 24u

4u+24u=252
28u=252
u=9

Apples at first = 4u = 4x9=36
(a) Number of apples at first = 36

Oranges left = 3u= 3x9 = 27
(b)Now, the number of oranges that the fruit seller has = 27

Mavis Lee wrote:
Question 4
Elsie had $320 less than Grace. Else gave Grace $170. Now the ratio of Elsie's money to Grace's money is 3:5.How much money did Elsie have at first ?
Draw a model and you will know that:
$320+$170+$170= 2 units
2 units = $660
3 units = $990
$990+$170=$1160
At first, Elsie had $1160

OR

Before
E: unit
G: unit+320

After
E: unit-170
G: unit+320+170=unit+490

E:G = 3:5

5(unit-170)=3(unit+490)
5 units-850=3 units+1470
2 units= 2320
1 unit = 1160

At first, Elsie had $1160

E:G = 3:5


Since E = 3 and G = 5
why do you have :

5(unit-170)=3(unit+490)

and not
3(unit-170)=5(unit+490)

Please explain thanks

Thank you so much

Mavis Lee wrote:
E:G = 3:5

Since E = 3 and G = 5
why do you have :

5(unit-170)=3(unit+490)

and not
3(unit-170)=5(unit+490)

Please explain thanks
E : G
unit-170 : unit+490
3 : 5

Balance both sides, multiply left hand side(E) by 5 and right hand side(G) by 3,
E : G
5(unit-170) : 3(unit+490)

Rest is the same:
5(unit-170)=3(unit+490)
5 units-850=3 units+1470
2 units= 2320
1 unit = 1160

At first, Elsie had $1160

It's easier to solve using model drawings and pls wait for other members to help.
Are these P4 questions?

No this came from a P5 paper

Elsie had $320 less than Grace. Else gave Grace $170. Now the ratio of Elsie's money to Grace's money is 3:5.How much money did Elsie have at first ?

Since we have an amount "less than", I have chosen to use a model for this question.

Thanks with the model it looks easier