Level 3
Andy, Benjamin and Caleb had a total of 698 cards at first. After a week, the number of Andy's cards became 3 times the number of cards he had at first. The number of Benjamin's cards decreased by 138. Caleb had half as many cards as he had at first. In the end, the three boys had the same number of cards.
How many cards did Caleb have at first?
What was the total number of cards that the three boys had in the end?
Level 3
A convenience store sold crabstick, salmon and egg mayo sandwiches. The ratio of the number of crabstick sandwiches made to the total number of sandwiches made was 3 : 7. The ratio of the number of salmon sandwiches made to the total number of sandwiches made was 1 : 5. After the store sold some crabstick sandwiches and made another 42 salmon sandwiches, there was an equal number of crabstick, salmon and egg mayo sandwiches left. Find the number of crabstick sandwiches sold.
Level 3
During Christmas, Vincent's candle and Ethan's candle were placed on an altar. Vincent's candle was 3 cm longer than Ethan's candle. Vincent's candle and Ethan's candle were lit at 5:30 p.m. and 9:00 p.m. respectively. They burnt down to the same height at 10:30pm. At 1:30 a.m., Ethan's candle was burnt out while Vincent's candle was burnt out at 3:30 a.m. Find the original heights of Vincent's candle and Ethan's candle.
Level 3 12 of the pupils in a school were girls and the rest were boys. 25 of the girls and 23 of the boys took part in a school event. 364 pupils did not take part. How many more girls were needed to take part in the school event so that it would be equal to the same number of boys who took part in the event?
Level 3 25 of the crayons in a bag were red and the rest were blue and yellow. 20% of the blue crayons and 12% of the yellow crayons were thrown away. There was an equal number of blue and yellow crayons left. If there were 352 blue and yellow crayons left,
what was the number of red crayons?
what was the total number of crayons in the bag at first?
Level 3
The ratio of the number of biscuits in Container H to the number of biscuits in Container J was 5 : 3. 20% of the biscuits in Container H and 0.6 of those in Container J were round. After transferring the biscuits between the 2 containers, the number of square biscuits in both containers are the same. Likewise, the number of round biscuits in both containers are the same. If a total of 162 of biscuits were moved, how many more biscuits were there in Container H than Container J at first?
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?
Level 3
60% of the sweets in Packet A were blueberry sweets and the rest were strawberry sweets. Packet B had 25% more blueberry sweets than packet A and twice as many sweets than the total number of sweets in Packet A. Find the percentage of the strawberry sweets in Packet B that would need to be transferred into Packet A, so that there were an equal number of blueberry and strawberry sweets in Packet A.
Level 3
Tank A has thrice as much water as Tank B. If Gilbert adds 0.5 ℓ of water to Tank A and 1.8 ℓ of water to Tank B, both tanks will have the same volume of water. Find the volume of water in Tank A at first.
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?
