Level 3
Vincent has some 20-cent coins and 50-cent coins which amount to more than $20 but less than $54. The number of 20-cent coins is 14 of all the coins he has. When he exchanges some 50-cent coins for 20-cent coins, the ratio of the number of 50-cent coins to 20-cent coins he now has become 1 : 6.
  1. What is the largest possible amount of money Vincent has?
  2. What is the total value of 50-cent coins that has been exchanged for 20-cent coins? Express the answer to 2 decimal place.
5 m
Level 3
The distance between town A and town B was 100 km. At 0700 Ali left town A and cycled towards town B. Grace left town A and cycled towards town B at 0730. Grace's cycling speed was 2 km/h faster than Ali. At 1100, Grace caught up with Ali. When Grace was 20 km from town B, she stopped to wait for Ali. How far was Ali from Grace when she stopped to wait for him?
4 m
Level 3
The total number of beads in Basket W, Basket X and Basket Y was 273. 29 of the beads from Basket W and 21 beads from Basket X were removed. More beads were then added into Basket Y until the number of beads in it was doubled. The ratio of the number of beads in Basket W to Basket X to Basket Y became 7 : 2 : 2.
  1. How many more beads were there in Basket W than Basket X at first?
  2. Find the total number of beads in Basket W and Basket Y in the end.
5 m
Level 3
20% of Nick's savings was $120 more than 30% of Will's savings. After Nick spent 23 of his savings and Will spent 40% of his savings, Nick had $13 more than Will. How much was Nick's saving at first?
5 m
Level 3
Wendy had $779 more than Hazel. Wendy spent 0.6 of her money and Hazel spent 50% of her money. In the end, Wendy and Hazel had the same amount of money left. Find the amount of money that Wendy had in the end.
5 m