Q&A - PSLE Math

[BigDevil]

q2) Polly had 360 dolls more than Ariel at first. After Polly gave away 1/4 of her dolls and Ariel gave away 2/3 of her dolls, they had 764 dolls altogether. How many dolls did they give away altogether?

[BigDevil]

q1) Simon and Peter had a total of 900 cards. Simon gave 1/5 of his cards to Peter. Peter then gave 1/4 of his cards to Simon. In the end, each of them had the same number of cards. How many cards did Simon have at first?

Since you already know that the end result is they have 450 cards each,
just work backwards to find what they have at first.

[Whitearies]

In a carton, 2/3 of the fruits were pears and the rest were apples. If Meiling took out 18 pears and replaced with the same number of apples, the number of pears would be 80% of the number of apples. What was the total number of fruits in the carton?

[Mathagog]

hi i'm oliver, i'm new here. i need help for my math homework:

q1) Simon and Peter had a total of 900 cards. Simon gave 1/5 of his cards to Peter. Peter then gave 1/4 of his cards to Simon. In the end, each of them had the same number of cards. How many cards did Simon have at first?

Solution with Model Diagram:

We can draw model diagrams to trace the transfers in the reverse order as shown below.

The 1st model shows the situation in the end where each boy has same number of cards.
The 2nd model shows the situation before Peter gave Simon 1/4th of his cards.
The 3rd model shows the situation before Simon gave Peter 1/5th of his cards



Solution:

From the 3rd model diagram it is clear that:
No. of cards Simon had at first (beginning) = 5 units
No. of cards Peter had at first (beginning) = 7 units
Total units = 5+7=12
Each unit = 900/12=75
Therefore no. of cards Simon had at first = 5*75=375

[Ender]

In a carton, 2/3 of the fruits were pears and the rest were apples. If Meiling took out 18 pears and replaced with the same number of apples, the number of pears would be 80% of the number of apples. What was the total number of fruits in the carton?

Code: Select all

Original P:A => 2:1 =>6 : 3   =>Total is 9
                     -2 : +2  => -18 for P and +18 for A
Final P: A => 8:10 = >4 : 5      Reason is 8 is 80% of 10.

2u=18
u=9

total fruits is 9u = 81 fruits.

[Whitearies]

Simon and Peter had a total of 900 cards. Simon gave 1/5 of his cards to Peter. Peter then gave 1/4 of his cards to Simon. In the end, each of them had the same number of cards. How many cards did Simon have at first?

[Whitearies]

Polly had 360 dolls more than Ariel at first. After Polly gave away 1/4 of her dolls and Ariel gave away 2/3 of her dolls, they had 764 dolls together. How many dolls did they give away altogther?

[Whitearies]

Jon, Molly and Chris shared some sweets. The ratio of the total amount of sweets received by Jon and Molly to the number of sweets received by Chris was 2:5. When Chris gave 25 sweets to Jon and 31 sweets to Molly, and Jon gave 12 sweets to Molly, each of them had the same number of sweets. Find the total number of sweets Jon had at first?

[BigDevil]

Simon and Peter had a total of 900 cards. Simon gave 1/5 of his cards to Peter. Peter then gave 1/4 of his cards to Simon. In the end, each of them had the same number of cards. How many cards did Simon have at first?

Polly had 360 dolls more than Ariel at first. After Polly gave away 1/4 of her dolls and Ariel gave away 2/3 of her dolls, they had 764 dolls together. How many dolls did they give away altogther?

Both answered in the previous page.

[acehkr3009]

Hi, pls advise on how to do this questions... Thanks in advance

Reef, Kevin and Wilson have some money. They want to buy a wallet for their father which cost $119. If Reef pays for the wallet, the ratio of his money left to that of Kevin and Wilson is 1 : 9 : 10. If Kevin pays for the same wallet, the ratio of his money left to that of Reef and Wilson is 1 : 4 : 5. If Wilson pays for the same wallet, the ratio of his money left to that of Reef and Kevin is 3 : 8 : 9. How much money did Reef, Kevin and Wilson have altogether?