Level 3
Vincent has some 20-cent coins and 50-cent coins which amount to more than $20 but less than $54. The number of 20-cent coins is ¹₄ of all the coins he has. When he exchanges some 50-cent coins for 20-cent coins, the ratio of the number of 50-cent coins to 20-cent coins he now has become 1 : 6.

1. What is the largest possible amount of money Vincent has?
2. What is the total value of 50-cent coins that has been exchanged for 20-cent coins? Express the answer to 2 decimal place.

Level 3
Last month Mr Zhang gave his wife, Anna $4000 for household expenditure. Anna spent 60% of the sum on rental, 30% on food and saved the rest. This month, Mr Zhang reduced the sum he gave to Anna. Anna spent the same amount on rental and reduced the amount she spent on food by 30%. She saved the remaining 10% of the sum given to her this month. By what percentage was the sum given to Anna reduced?

Level 3
Mrs Lee gave Wendy and Yvonne some money each on Saturday. On Sunday, Wendy gave ¹₅ of the amount she had to Yvonne. On Monday, Yvonne gave ¹₄ of the amount she had to Wendy. In the end, Wendy had $65 and Yvonne had $147. How much did Yvonne had more than Wendy at first?

Level 3
Roshel had some peaches and oranges in 2 baskets. In Basket A, the number of peaches to the number of oranges was in the ratio of 5 : 9. In Basket B, there were thrice as many peaches as oranges. After Roshel transferred ¹₃ of the oranges from Basket A to Basket B, the number of fruits left in Basket A was 187 and the ratio of the number of peaches to the number of oranges in Basket B became 7 : 8. How many fruits were in Basket B in the end?

Level 3
There were some pupils in a museum. ¹₃ of the pupils lined up in 16 short rows and ¹₂ of the pupils lined up in 6 long rows. The remaining pupils did not line up. There are 12 more pupils in each long row than each short row.

1. What fraction of the pupils did not line up?
2. How many pupils lined up?

Level 3
A train left the city with some passengers. At the first station, ¹₅ of the passengers alighted and 16 boarded the train. At the second train station, ¹₃ of the passengers alighted and 17 boarded the train. All 33 passengers alighted from the train at the final train station. How many passengers were there in the train when it left the city?

Level 3
Three girls, Isabelle, Zoe and Diana had a total of 1680 marbles. Some exchanges were made. First, Isabelle gave Zoe as many marbles as Zoe had. After that, Zoe gave ³₄ of whatever she had then to Diana. Finally, Diana gave ²₇ of whatever she had to Isabelle. As a result, they each had the same number of marbles. How many marbles did Isabelle have at first?

Level 3
The total price of 6 grapefruits and 4 avocados is the same as that of 10 grapefruits and 3 avocados. Each grapefruit costs $3 less than each avocado. How much does each avocado cost?

Level 3
During a charity drive, Primary 4 raised 4 times as much money as Primary 2 on the first week. On the second week, Primary 4 raised another $200 while Primary 2 raised another $461. During the entire charity event, Primary 4 raised 2 times as much as Primary 2. What was the total amount raised by Primary 4?

Level 3
The mass of 8 exercise books and 3 guide books is 3.7 kg. The mass of 2 exercise books and 7 guide books is 5.3 kg. Find the mass of each guide book.