Level 3
A store owner had coconuts and papayas. The ratio of coconuts to papayas was 5 : 2. After ¹₂ of the coconuts and 18 papayas were sold, there were 2 times as many coconuts as papayas left. How many coconuts and papayas were there at first?

Level 3
Isabelle had $574 less than Jane. Jane spent ³₅ of her money and Isabelle spent ³₄ of her money. In the end, Jane had 3 times as much as Isabelle. Find the amount of money Isabelle had at first.

Level 3
Eva and Fiona went shopping with a total of $200. After Eva spent ³₄ of her money and Fiona spent $46, the ratio of Fiona's money became 3 times as much as Eva's money. Find the ratio of Eva's money to Fiona's money at first.

Level 3
Cathy had some coin collection. ¹₄ of them were red and the rest were yellow. She gave away 135 of the yellow coins and 50% of the red coins. She then had ¹₅ of her coin collection left. How many coins did Cathy give away?

Level 3
Lisa had 740 more candies than Anna. Lisa used ⁵₆ of her candies and Anna used ¹₂ of her candies. In the end, Lisa had 2 times as much as Anna. Find the number of candies Anna had at first.

Level 3 PSLE
Ruth bought some lollipops and gave half of it to Asher. Asher bought some sweets and gave half of it to Ruth. Ruth ate 17 sweets and Asher ate 31 lollipops. The ratio of Ruth's sweets to lollipops became 1 : 5 and the ratio of Asher's sweets to lollipops became 1 : 3. How many sweets did Asher buy?

Level 3
¹₄ of the number of sheep that Farmer Yang head was equal to ²₅ of the number of sheep that Farmer Tan had. When Farmer Yang sold 300 of his sheep and Farmer Tan bought another 40, the ratio of the number of sheep that Farmer Yang had to the number of sheep Farmer Tan had 7 : 5. What was the total number of sheep that the 2 farmers had at first?

Level 3
Will, Xavier and George had a total of 670 pens. The ratio of the number of pens Xavier had to the number of pens George had was 4 : 5. After Will and Xavier each gave away half of their pens, the 3 children had 395 pens left. How many pens did Xavier and George have at first?

Level 3
Rael, Peter and Zane had a total of 839 erasers. The ratio of Peter's erasers to Zane's erasers was 4 : 3 at first. Rael and Peter each gave away ¹₂ of their erasers. Given that the three boys had 502 erasers left, how many erasers did Rael have at first?

Level 3
¹₅ of the guests at a stadium were women. 80% of the remaining guests were men and the rest were children. The number of men was 476 more than the total number of women and children. After some men left the stadium, 20% of the guests that remained were men. How many men left the stadium?

Level 3
Madam Lin packed some stickers for a party. She packed ³₄ of the stickers into 6 blue bags and the rest into 26 violet bags. There were 90 stickers altogether in 1 blue and 2 violet bags. How many stickers did Madam Lin have at first?

Level 3
Vincent and George had 852 notebooks together. Vincent had 210 more notebooks than George. Both of them sold some of their notebooks. George sold 20% less notebooks than what Vincent sold. In the end, George had half as many notebooks left as Vincent. How many notebooks had Vincent left?

Level 3
Yvonne and Anna have some pens. If Yvonne gives 45 pens to Anna, Anna will have 4 times the number of pens as Yvonne. If Anna gives 104 pens to Yvonne, Yvonne will have ¹₃ as many pens as Anna. How many pens does Yvonne have at first?

Level 3
Lisa and Gillian had a total of 64 beads. Lisa gave ¹₃ of her beads to Gillian. In return, Gillian gave ¹₅ of the total number of beads that she had to Lisa. In the end, each girl had the same number of beads. How many beads did Gillian have at first?

Level 3
Hazel had $300 more than Wendy. Hazel gave ³₅ of her money to Wendy. Wendy then gave 25% of her money to Hazel. In the end, Wendy had $186 more than Hazel. How much did Hazel have at first?

Level 3
Kate had $280 more than Natalie. Kate gave ³₅ of her money to Natalie. Natalie then gave 25% of her money to Kate. In the end, Kate had $146 less than Natalie. How much did Kate have at first?

Level 3
Three cartons, W, X and Y contained a certain number of pens. Carton Y contained ²₇ as many pens as W and X combined. There were 98 more pens in Carton W than in Carton Y. Carton X contained 127 more pens than Carton Y. How many pens were in Carton X?

Level 3
Three cartons, A, B and C, contained 382 marbles. Hazel added some marbles into Carton A and the number of marbles in Carton A tripled. He took out half of the number of marbles from Carton B and added another 98 marbles into Carton C. As a result, the ratio of the number of marbles in Carton A, Carton B and Carton C became 6 : 2 : 9. What was the ratio of the number of marbles in Carton B to the total number of marbles in Carton A and Carton C at first? Give the answer in its lowest term.

Level 3 PSLE
Nick had doughnuts and Ethan had scones. Both gave half of what they had to each other. Nick sold 8 doughnuts and Ethan sold 42 scones. In the end, the ratios of doughnuts to scones for Nick and Ethan were 1 : 5 and 1 : 3 respectively. How many doughnuts did Nick have at first?