Level 3
Rael and Ethan had some coins in the ratio of 11 : 6. Ethan and Sean had some coins in the ratio of 2 : 1. Rael sold 112 coins to Sean and ended up with half the number of coins Ethan had. How many coins did Sean have in the end?

Level 3
Fabian, Gilbert and Henry had some marbles in the ratio of 2 : 3 : 5. Henry gave 40% of his marbles to Fabian and Gilbert. As a result, Fabian had the same number of marbles as Gilbert and Henry had 36 fewer marbles than Fabian.

1. What was the percentage increase in Fabian's marbles after receiving from Henry?
2. How many marbles did Gilbert have at first?

Level 3
The ratio of the amount of money Anna had to the amount of money Belle had was 6 : 7. Anna then gave ⁵₆ of her money to Belle. In the end, Belle returned $66 to Anna and they both had the same amount of money. How much money did each girl have at the beginning?

1. Anna
2. Belle

Level 3
Andy, Bob and Charles collected game cards in the ratio of 7 : 4 : 9. After Charles gave ³₁₀ to Andy and Bob, Charles had 60 less game cards than Andy. The number of game cards that Ben had increased by 35%. How many game cards did Andy and Charles have?

Level 3
Daniel had to solve some Science questions during a 3-week school holidays. At the end of the first week, the ratio of the number of questions solved to the number of questions unsolved was 3 : 7. At the end of the second week, Daniel solved another 36 questions and the number of unsolved questions became ¹₄ of the total number of questions. How many questions did Daniel need to solve on the third week to complete his assignment?

Level 3
Janet wanted to finish reading a 231-page book by the end of the week. On Monday she read ³₇ of the book and by Friday the ratio of the number of pages read to the total number of pages was 9 : 11. Find the number of pages Janet would need to read during the weekend in order for her to complete the entire book.

Level 3
Clifford had 80% fewer sweets than Ashwin. After Ashwin gave 210 sweets to Clifford, Clifford had ²₃ as many sweets as Ashwin. How many sweets did each of them have in the end?

1. Ashwin
2. Clifford

Level 3
Henry had to paint some cartons. On the first day, the number of cartons he painted was 40% of the number of cartons that he had not painted. One week later, he painted another 100 cartons. As a result, the total number of painted cartons became 28 more than ¹₂ of the total number of cartons. How many more cartons were unpainted than painted on the first day?

Level 3
Jeanne's school organized a trip to Japan. At first, the ratio of the number of boys to the number of girls who planned to participate in the trip was 7 : 5. On the day of registration, 52 girls decided to withdraw and 52 more boys decided to join in. In the end, the number of girls who participated became 20% of the total participants for the trip. How many more boys than girls would visit Japan in the end?

Level 3
Betty and Eva shared some stickers. Betty had 60% of what Eva had at first. Betty then gave Eva ³₇ of what she had. How many more percent did Eva have than Betty in the end? Correct the answer to 1 decimal place.