Level 3
Mrs Lu had a total of 520 purple and yellow lilies in the ratio of 8 : 5. After she had given away 6 times as many purple lilies as yellow lilies, the number of purple and yellow lilies left was in the ratio of 10 : 9. How many more purple lilies than yellow lilies did she give away?
Level 3
Oscar bought some mangosteens and coconuts in the ratio of 2 : 5 respectively. The cost of a mangosteen was $1.50 more than the cost of a coconut. He spent a total of $81 buying the mangosteens and coconuts. The total cost of the coconuts was $9 more than the total cost of the mangosteens. How much did 1 mangosteen cost?
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
Lisa had four baskets, C, D, E and F which contain a total of 351 kiwis. She transferred 7 kiwis from basket C to basket D, 24 kiwis from basket D to basket E and 38 kiwis from basket E to basket F. The ratio of the number of kiwis in basket C to basket D to basket E changed from 4 : 8 : 11 to 1 : 3 : 9. How many kiwis were in basket F at first?
Level 3
Daniel saved some 50-cent coins and $1 notes in his coin box. The total value of the 50-cent coins to the total value of the $1 notes he had was in the ratio 2 : 5. After $14 worth of 50-cent coins and an equal value of $1 notes were added to the coin box, the ratio of the total value of 50-cent coins to the total value of $1 notes became 5 : 9. How many of each type did Daniel have in the end?
Level 3
At the beginning of the year, the number of members in Club A and Club B were in the ratio 5 : 7. At the end of Term One, some members left Club A to join Club B. The ratio of the number of members in Club A and Club B became 1 : 3. At the middle of Term Two, each club received 54 new members. The ratio of the number of members in Club A and Club B became 2: 3. How many members left Club A to join Club B at the end of Term One?
Level 3
The ratio of Yvette's money to Linda's money was 1 : 3. After Yvette spent thrice as much as Linda, Yvette and Linda had $6 and $42 left respectively. Find the amount of money each of the girls have at first.
Level 3
The prices of two fruits sold at a supermarket is shown.
Grapes: 2 kg for $12
Bananas: 3 kg for $10
Mr Lin bought an equal mass of grapes and bananas and spent $64 more on grapes than on bananas. What was the total mass of fruits that Mr Lin bought?
Mrs Shay spent an equal amount of money on grapes and bananas. In terms of their masses, what was the ratio of grapes to the ratio of bananas Mrs Shay bought?
