Question:

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?

Level 3

Last month Mr Zhang gave his wife, Anna $4000 for household expenditure. Anna spent 60% of the sum on rental, 30% on food and saved the rest. This month, Mr Zhang reduced the sum he gave to Anna. Anna spent the same amount on rental and reduced the amount she spent on food by 30%. She saved the remaining 10% of the sum given to her this month. By what percentage was the sum given to Anna reduced?

5 m
Last month Mr Zhang gave his wife, Anna $4000 for household expenditure. Anna spent 60% of the sum on rental, 30% on food and saved the rest. This month, Mr Zhang reduced the sum he gave to Anna. Anna spent the same amount on rental and reduced the amount she spent on food by 30%. She saved the remaining 10% of the sum given to her this month. By what percentage was the sum given to Anna reduced?

Level 3

At an event held at the stadium, 80% of the audience were adults. The female audience was made up of 70% of the children and 30% of the adults. There were 64 more girls than boys.

5 m
At an event held at the stadium, 80% of the audience were adults. The female audience was made up of 70% of the children and 30% of the adults. There were 64 more girls than boys.

- How many people went to the stadium in total?
- Some women left before the event ended, after which 20% of the remaining people at the stadium were women. How many women left the stadium before it ended?

Level 3

Container A contains 480 blue buttons and 590 purple buttons. Container B contains 590 blue buttons and 410 purple buttons. How many blue buttons and purple buttons must be removed from Container B to put into Container A so that 50% of the buttons in Container A are blue and 60% of the buttons in Container B are blue?

5 m
Container A contains 480 blue buttons and 590 purple buttons. Container B contains 590 blue buttons and 410 purple buttons. How many blue buttons and purple buttons must be removed from Container B to put into Container A so that 50% of the buttons in Container A are blue and 60% of the buttons in Container B are blue?

Level 3

There were some pink erasers and blue erasers. The erasers were packed into 2 bags. At first, Bag A contained 480 erasers and 40% of them were blue erasers. Bag B contained 300 erasers and 80% of them were blue erasers. How many pink erasers and blue erasers in total must be moved from Bag A to Bag B such that 20% of the erasers in Bag A are pink and 50% of the erasers in Bag B are blue?

5 m
There were some pink erasers and blue erasers. The erasers were packed into 2 bags. At first, Bag A contained 480 erasers and 40% of them were blue erasers. Bag B contained 300 erasers and 80% of them were blue erasers. How many pink erasers and blue erasers in total must be moved from Bag A to Bag B such that 20% of the erasers in Bag A are pink and 50% of the erasers in Bag B are blue?

Level 3

Entrance tickets to the concert are $8 each for adults. The ticket for a child costs 25% less. Last Sunday, 10% of the tickets sold were for children and the total sale of the tickets was $3900. How many of the tickets sold were for adults?

4 m
Entrance tickets to the concert are $8 each for adults. The ticket for a child costs 25% less. Last Sunday, 10% of the tickets sold were for children and the total sale of the tickets was $3900. How many of the tickets sold were for adults?

Level 3

The auditorium had 1050 seats. There were 25% fewer $40-seats than $5-seats. 50% of the $5-seats and some $40-seats were sold. A total of $16180 was collected. How many seats were unsold?

4 m
The auditorium had 1050 seats. There were 25% fewer $40-seats than $5-seats. 50% of the $5-seats and some $40-seats were sold. A total of $16180 was collected. How many seats were unsold?

Level 3

During a telematch, each group of students was supposed to collect as many coloured candies as possible. Each colour represented a certain point as tabulated:

Yellow 3 points

Pink 6 points

Blue 7 points

In each container, the number of yellow candies was 20% more than the number of blue candies and 10% less than the number of pink candies. Given that the total possible points if the group managed to collect all the candies were 558 points, how many candies were not yellow in colour?

4 m
During a telematch, each group of students was supposed to collect as many coloured candies as possible. Each colour represented a certain point as tabulated:

Yellow 3 points

Pink 6 points

Blue 7 points

In each container, the number of yellow candies was 20% more than the number of blue candies and 10% less than the number of pink candies. Given that the total possible points if the group managed to collect all the candies were 558 points, how many candies were not yellow in colour?

Level 3

If Yvonne gives Oscar $27, the amount of money she has will be 25% of his. If Oscar gives Yvonne $12, he will have the same amount of money as her. How much money did each of them have?

(a) Oscar

(b) Yvonne

4 m
If Yvonne gives Oscar $27, the amount of money she has will be 25% of his. If Oscar gives Yvonne $12, he will have the same amount of money as her. How much money did each of them have?

(a) Oscar

(b) Yvonne

Level 3

Wendy has a bag containing some violet and blue lollipops. If she adds in 15 violet lollipops, 25% of the lollipops in the bag are blue. If she adds in another 25 blue lollipops, 40% of the lollipops in the bag are blue. How many violet lollipops are in the bag?

3 m
Wendy has a bag containing some violet and blue lollipops. If she adds in 15 violet lollipops, 25% of the lollipops in the bag are blue. If she adds in another 25 blue lollipops, 40% of the lollipops in the bag are blue. How many violet lollipops are in the bag?