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Level 2

The ratio of Liam's to Mark's money is 7 : 9. The ratio of Mark's to Ian's money is 8 : 1. If Liam has $112, how much less does Ian have than Mark?

2 m
The ratio of Liam's to Mark's money is 7 : 9. The ratio of Mark's to Ian's money is 8 : 1. If Liam has $112, how much less does Ian have than Mark?

Level 3

Wendy and Anna have $294. Violet and Wendy have $493. The ratio of Anna to Violet is 1 : 2. How much does Wendy have?

3 m
Wendy and Anna have $294. Violet and Wendy have $493. The ratio of Anna to Violet is 1 : 2. How much does Wendy have?

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?

4 m
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

There were some grapefruits and durians in Container A and Container B. In Container A, the ratio of the grapefruits to the number of durians was 3 : 1. In Container B, the ratio of the number of grapefruits to the number of durians was 3 : 2. There were 2 times as many fruits in Container A as in Container B. After 56 durians were put into Container B, the ratio of the number of grapefruits to the number of durians in Container B became 1 : 2. How many fruits are there in Container A at the end?

5 m
There were some grapefruits and durians in Container A and Container B. In Container A, the ratio of the grapefruits to the number of durians was 3 : 1. In Container B, the ratio of the number of grapefruits to the number of durians was 3 : 2. There were 2 times as many fruits in Container A as in Container B. After 56 durians were put into Container B, the ratio of the number of grapefruits to the number of durians in Container B became 1 : 2. How many fruits are there in Container A at the end?

Level 3

Isabelle has 40% as many beads as Violet and 80% less beads than Sarah. If they have a total of 102 beads, how many beads do Isabelle and Sarah have?

3 m
Isabelle has 40% as many beads as Violet and 80% less beads than Sarah. If they have a total of 102 beads, how many beads do Isabelle and Sarah have?

Level 3

The number of lemons a fruit seller bought in December was 30% more than in November. In January, he bought 50% less lemons than in December. If there were 3577 more lemons in November than January, how many lemons did the fruit seller buy in November?

3 m
The number of lemons a fruit seller bought in December was 30% more than in November. In January, he bought 50% less lemons than in December. If there were 3577 more lemons in November than January, how many lemons did the fruit seller buy in November?

Level 3

Ken has 30% more stamps than Vincent. Tim has 80% the number of stamps Ken has.

4 m
Ken has 30% more stamps than Vincent. Tim has 80% the number of stamps Ken has.

- What is the ratio of the number of Vincent's stamps to the number of Tim's stamps?
- If the total number of stamps of Ken's and Tim's is 150 more than Vincent's, how many stamps does Ken have?

Level 3

Betty, Mary and Jane shared a sum of money. Betty and Mary received 80% of the total amount of money. Mary and Jane received 50% of the total amount of money. Given that Betty received $66 more than Jane, how much was the sum of money that was shared by Betty and Jane?

3 m
Betty, Mary and Jane shared a sum of money. Betty and Mary received 80% of the total amount of money. Mary and Jane received 50% of the total amount of money. Given that Betty received $66 more than Jane, how much was the sum of money that was shared by Betty and Jane?

Level 3

At a theme park, there were 60% as many boys as girls and 30% more adults than boys. Given that there were 90 more adults than boys at the theme park, how many children were there altogether?

3 m
At a theme park, there were 60% as many boys as girls and 30% more adults than boys. Given that there were 90 more adults than boys at the theme park, how many children were there altogether?

Level 3

There were some avocados in 3 boxes, E, F and G. 30% of the number of avocados in Box E was equal to 60% of the number of avocados in Box F. The number of avocados in Box G was 60% of the total number of avocados in Box E and F. After Oscar removed 20% of the avocados in Box G, there were 88 more avocados in Box F than in Box G. In the end, how many avocados should be transferred from Box F to Box G so that the avocados in Box G would be the same as Box E?

5 m
There were some avocados in 3 boxes, E, F and G. 30% of the number of avocados in Box E was equal to 60% of the number of avocados in Box F. The number of avocados in Box G was 60% of the total number of avocados in Box E and F. After Oscar removed 20% of the avocados in Box G, there were 88 more avocados in Box F than in Box G. In the end, how many avocados should be transferred from Box F to Box G so that the avocados in Box G would be the same as Box E?