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
Level 3
Olivia, Natalie and Kate have 264 marbles. Natalie has 79 as many marbles as Olivia. Kate's marbles is 12 of the total number of Olivia's and Natalie's marbles. How many marbles must Natalie give to Kate so that both Olivia and Kate will have the same number of marbles?
4 m
Level 3
The average number of mangosteens in Carton C, Carton D and Carton E is 24 and it is 8 more than the average number of papayas in the 3 cartons. 16 of the papayas are in Carton C and the papayas in Carton C is 80% of the number of papayas in Carton D. If each carton has the same number of fruits, what percentage of the fruits in Carton E are mangosteens?
5 m
Level 3
Jack, George, Henry and Asher shared $1495. Asher received 310 of the total amount of money received by Jack, George and Henry. Jack received 37 of the total amount for George and Henry. George received 23 as much money as Henry. If George gave all his money to Asher, how much did Asher have more than Jack in the end?
4 m
Level 3
On Monday, 700 more youths than children attended a concert. On Tuesday, the number of youths decreased by 30% and the number of children increased by 80%. 1240 audience attended the concert on Tuesday. If each ticket cost $12, how much money was collected from the sale of concert tickets for the two days?
5 m
Level 3
Sarah bought a total of 300 big and small candies. Then she decided to exchange 60% of her big candies for the small ones in the ratio of 3 : 5. After the exchange, she had 366 candies. What percentage of the candies she bought were small ones?
5 m
Level 3
The number of 20-cent coins in a basket was 100% more than the number of 10-cent coins. 13 twenty-cent coins were taken out and exchanged for 10-cent coins. The number of 20-cent coins became 58 less than the number of 10-cent coins. How much money is there in the basket?
5 m
Level 3
20% of the people are performers for a concert and the rest are spectators. 80% of the spectators are adults and there are 3900 more adults spectators than children spectators. How many adult spectators must leave so that 25% of the people in the concert are adult spectators?
5 m
Level 3
In a thrift shop, the number of beads was 23 of the total number of beads and erasers together. The shopkeeper sold the beads and erasers in sets of 1 bead and 4 erasers. After selling all the erasers, he still had 133 beads left. How many erasers were in the thrift shop at first?
4 m
Level 3
Vincent has some 20-cent coins and 50-cent coins which amount to more than $20 but less than $54. The number of 20-cent coins is 14 of all the coins he has. When he exchanges some 50-cent coins for 20-cent coins, the ratio of the number of 50-cent coins to 20-cent coins he now has become 1 : 6.
  1. What is the largest possible amount of money Vincent has?
  2. What is the total value of 50-cent coins that has been exchanged for 20-cent coins? Express the answer to 2 decimal place.
5 m