Level 3
David, Ethan and Tim have some marbles. The ratios of their marbles are as follows:

David : (David + Ethan + Tim) = 1 : 5
Ethan : (David + Tim) = 1 : 3

Tim has 42 marbles more than Ethan. In the end, Tim gives away all he has to Ethan and David so that both Ethan and David end up with the same number of marbles, how many marbles has Ethan received from Tim?

Level 3
Alan, Benjamin and Charles shared a bag of toy blocks. Benjamin took ³₅ as many toy blocks as Charles. Alan took twice as many toy blocks as the total Benjamin and Charles took. After Alan had given 20 to Benjamin and 4 to Charles, Benjamin gave 5 to Charles. In the end, all three of them had the same number of toy blocks. Find the difference between the number of toy blocks that Alan and Benjamin had at first.

Level 3
Molly, Nellie and Olivia had a sum of money. The amount of money Molly had was ⁴₅ of the amount of money Nellie had. The ratio of the amount of money Nellie had to the total amount of money Olivia and Nellie had was 3: 8. After Olivia gave $15 to Nellie, she had as much money as Nellie. How much more money did Olivia have than Molly in the end?

Level
Fred had ¹₂ as many erasers as Will. Will had ²₃ as many erasers as Rachel. After Fred and Rachel gave 12 erasers to Will, Will had four times as many erasers as Fred. Rachel then had the same number of erasers as Will.

1. What was the ratio of the number of erasers Fred had to the number of erasers Rachel had in the beginning? Answer in simplest form.
2. How many erasers did Will have in the end?

Level 3
Janet had some pencils, erasers and rulers. The ratio of the number of pencils to the number of erasers was 5 : 1. After giving away 16 erasers, the ratio of the number of rulers to the number of erasers was 4 : 1. Janet bought another 184 rulers. As a result, there were an equal number of pencils and rulers. How many erasers did she have at first?

Level 3
Howard and Sam had some money at first. Howard received 4 times as much money as Sam every fortnight. At the end of 2 fortnights, both of them had the same amount of money. If Sam had $1500 at first and Howard had $1900 at the end of those 2 fortnights, what was the ratio of Howard's money to the total amount of money at first?

Level 3
At first, Xandy, Yoko and Zach had some sweets in the ratio 5 : 3 : 4 respectively. Xandy had 190 sweets. Then he gave all his sweets to Yoko and Zach. After receiving the sweets from Xandy, Yoko and Zach had the same number of sweets. How many sweets did Yoko receive from Xandy?

Level 3
Amanda and Joe have some books in the ratio 3 : 7. Amanda has 72 less books than Joe. How many books must Joe give to Amanda so that they will have the same number of books?

Level 3
50% of Amin's money was $350 less than Dave's money. When Amin spent 45% of her money and Dave spent 60% of his money, they had the same amount of money left. Find the amount of money Dave had at first.