Level 3
A coin bank contains some twenty-cent and fifty-cent coins in the ratio of 4 : 5. When 16 fifty-cent coins were taken out and replaced by some twenty-cent coins, the ratio became 8 : 7. The total value of the twenty-cent coins added was the same as the total value of the fifty-cent coins taken out. Find the sum of money in the coin box.
5 m
Level 3
Albert had $2.20 less than Caden. After Albert gave $2.50 to Caden, Caden would have thrice as much money as Albert. How much money had Caden at first?
4 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
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?

  1. 50-cent coins?
  2. $1 notes?
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