Level 3
The amount of lemon syrup to the amount of water in Cup A is in the ratio 2 : 5. The amount of lemon syrup to the amount of water in Cup B is in the ratio 1 : 6. There is an equal amount of lemon syrup in both cups. Cup B contains 189 mℓ more water than Cup A. What is the amount of lemon syrup in Cup A? Leave the answer in mℓ.
3 m
Level 3
A fruit seller sells only soursops and avocados. The ratio of soursops to avocados is 5 : 4. A total of 68 fruits are added. The number of soursops becomes 2 times as many as before and the number of avocados becomes 4 times as many as before. How many fruits are there in the end?
5 m
Level 3
The ratio of the number of boys to the number of girls in a class is 3 : 5. The ratio of the pupils in the class who scored distinction to those who did not score distinction is 4 : 1. The ratio of the boys who scored distinction to those who did not score distinction is 14 : 1. What is the ratio of girls who scored distinction to the girls who did not score distinction?
3 m
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
Level 3
Kate and Yvonne collected stamps. Kate gave 30% of her stamps to Yvonne and as a result, Yvonne's stamps increased by 70%. If Kate had 294 stamps left, find the total number of stamps the two girls had at first?
3 m
Level 3
Carl was fixing a jigsaw puzzle. On the second day, the number of pieces he fixed was 20% of the number of pieces unfixed. After another 8 days, he fixed another 196 pieces and the number of unfixed pieces he was left with was 20% of the number of pieces fixed. How many pieces were left unfixed?
3 m
Level 3
10% of the people are performers for a concert and the rest are spectators. 60% of the spectators are parents and there are 900 more parents than kids. How many parent spectators must leave so that 10% of the spectators are parents?
4 m
Level 3
Sarah had 70% as many candies as Xuan. Sarah gave away 10% of her candies and Xuan bought another 99 candies. As a result, Sarah now has 30% as many candies as Xuan. Find the number of candies that Xuan had at first.
5 m
Level 3
Peter has 70% as many marbles as George. If Peter gives away 50% of the marbles and George gives away 75% of his marbles, they will have 444 marbles altogether. How many marbles do the two of them have?
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