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 were there in Container A?
Level 3
Hazel, Olivia and Diana had a total of 767 marbles. The ratio of Olivia's marbles to Diana's marbles was at first 4 : 7. After Hazel and Olivia each gave half of their marbles away, the 3 children had 527 marbles left. How many marbles did Hazel and Diana have at first?
Level 3
At a wedding, 49 of the guests were men and the rest were women. Some men then
left the wedding and the remaining number of men were 25 of the guests. 44 men
then joined the wedding.
The number of guests in the end was 12 more than the number of guests at first.
How many guests were there at first?
Level 3
In a factory, Machine A was turned on first and it produced 313 wontons. Then Machine A and Machine B were turned on at the same time to continue production. For every 4 wontons Machine A produced, Machine B produced 6 wontons. Machine B produced 45 less than 12 of the total number of wontons produced. How many wontons were produced altogether?
Level 3
Tim had 672 coins. 27 were pink and the rest were yellow and blue. The ratio of the number of yellow coins to the number of blue coins was 1 : 3. Tim decided to buy some more pink coins to increase the number of pink coins to half of the total number of coins.
How many less yellow coins than pink coins did he have at first?
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?
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?
Level 3
Roshel had some peaches and oranges in 2 baskets.
In Basket A, the number of peaches to the number of oranges was in the ratio of 5 : 9.
In Basket B, there were thrice as many peaches as oranges.
After Roshel transferred 13 of the oranges from Basket A to Basket B,
the number of fruits left in Basket A was 187
and the ratio of the number of peaches to the number of oranges in Basket B became 7 : 8.
How many fruits were in Basket B in the end?
Level 3
Vincent has 5 more 50-cent coins than 10-cent coins. After he used 6 of his 50-cent coins, the total value of 50-cent coins is $1.50 more than the total value of 10-cent coins. How many coins did he have at first?
Level 3
There are some blue and yellow marbles in a container. If 10 blue marbles are removed from the container, the total number of marbles left will be 8 times the number of blue marbles left. If 5 yellow marbles are removed from the container, the total number of marbles left will be 5 times the number of blue marbles. How many marbles are there in the container?
