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
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
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
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.