Level 2
45% of Julia's allowance is equal to 8313% of Leonard's allowance. If Julia's allowance is $92 more than Leonard's, find their combined allowances.
Level 3
There are 20% as many green beads as red beads in May's collection of beads. The number of purple beads is 30% fewer than the number of red beads. There are 330 more purple beads than green beads.
Find the total number of beads in the collection.
What percentage are the number of red beads as compared to the number of purple beads? Leave your answer as a mixed number in its simplest form.
Level 2
Anna's money is 34 of Samantha's money. Samantha gives 12 of her money to Anna. Express Anna's money as a fraction of Samantha's money after Anna received the money from Samantha. (Give your answer as a mixed number.)
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.
Level 3
At first, the ratio of the number of boys to the number of girls at a school playground was 2 : 5. When 48 girls and some boys entered the playground, the number of girls increased by 12% and the total number of children at the playground increased by 20%.
How many boys were there at first?
What percentage of the children at the playground were boys in the end? Express your answer as a mixed number.
