Level 3
There was an equal number of tables and chairs in the morning. At noon, some tables were added and some chairs were removed, resulting in the number of tables being increased by 20% while the number of chairs decreased by 30%. At 7 p.m. the number of tables increased by 50%. If a total of 32 tables were added during the day, how many more tables than chairs were there in the end?
4 m
Level 3
Lizzy bought some souvenirs for her friends at an average price of $12.50. If Lizzy decided to buy a pen which cost $16 for her father and a bag which cost $35 for her mother, the average price of the souvenirs would become $15.75. How many souvenirs did Lizzy buy for her friends?
3 m
Level 3
Mr Lim had three bags of soil, A, B and C and the mass of each bag of soil was in the ratio 2 : 4 : 3. Mr Lim decided to transfer 30% of soil from Bag A into Bag B and 60% of soil from Bag C into Bag B. Given that the mass of Bag B was 38.4 kg in the end, how many kilograms of soil were transferred into Bag B?
5 m
Level 3
Madam Naz made pies for sale. 45% of the pies were chicken pies and the rest were potato and sardine pies in the ratio 3 : 1. If a customer bought 75% of the chicken pies and all of the sardine pies, what percentage of the potato pies must Madam Naz sell for her to maintain the original percentage of chicken pies at first? Leave your answer in mixed numbers.
5 m
Level 3
Tim's and Natalie's monthly allowances were the same at first. Tim's allowance increased by 50% while Natalie's increased by 20%. Given that Tim's allowance would increase by another 20% if he had received $300 more from his father, find the difference in the children's monthly allowances.
5 m
Level 3
Rachel had 3 times as much money as Paul. After Rachel spent 12 of her money and Paul spent 35 of his money, they had a total of $1615 left.
  1. How much money did Rachel and Paul have altogether at first?
  2. Paul spent 35 of his remaining money on a pair of headphones. What fraction of his original amount of money did he spend on the pair of headphones?
5 m
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.
4 m
Level 3
There are 25% more red crayons than blue crayons in a bag. After John removed 40% of the red crayons and increased the number of blue crayons by 10%, there are now 70 fewer red crayons than blue crayons. Find the number of blue crayons at first.
4 m
Level 3
Andrew, Bryan and Charlie had the same number of marbles. Charlie gave 0.5 of his marbles to Bryan. Then Bryan gave 0.25 of his marbles to Andrew. Finally, after Bryan gave 30 marbles to Charlie, he had the same number of marbles as Charlie. How many marbles did Charlie have at first?
5 m
Level 3
There was an equal number of mangoes and pineapples. On Monday, some mangoes were added, such that the number of mangoes increased by 80%. On Tuesday, the number of mangoes further increased by 50% and the number of pineapples decreased by 20%. There were 38 more mangoes than pineapples in the end. How many mangoes and pineapples were there altogether at first?
5 m