Level 3
Olivia is 20% heavier than Xavier. Dana is 40% lighter than Xavier. Olivia is 12 kg heavier than Dana. What is Xavier's mass?

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
Sean, Tim, Fred and Mark paid a total of $132 for a souvenir. Mark paid ³₈ of what the rest paid. Sean paid 20% of what the rest paid. Tim and Fred paid an equal amount of money. How much did Fred pay?

Level 3
Four boys, Vincent, Asher, Oscar and Zane saved some money. Asher's savings was ⁵₁₂ of the total savings of Vincent, Oscar and Zane. Vincent's savings was 20% of the total savings. Oscar's savings was ¹₂ of the total savings of Asher and Zane. If Asher's savings was $10650, how much less was Vincent's savings than the total of the other 3 boys?

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 3
There were 182 red, blue and green marbles in a box. 26 green marbles were removed from the box and the ratio of the number of red marbles to the number of blue marbles to the number of green marbles became 4 : 3 : 5. Then some yellow marbles were added and the ratio of the number of green marbles to the number of yellow marbles was 13 : 9.

1. What was the ratio of the number of red marbles to the number of blue marbles to the number of green marbles at first?
2. How many marbles were in the box 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
$258 is to be divided among a certain number of people. Half of the people received $3 each, ⁵₁₂ of the people received $4 each and the rest received $5 each. How many people are there altogether?