Stream of consciousness rationale: The total ratio of the coins they both have is 10 + 45 = 55. The fraction of the ratio representing the number of coins that Amalie has is 45 / 55, and since the total number of coins they both have is 440, Amalie has 45 / 55 * 440 = 360 coins. When Amalie spends 3 / 4 of what she has, she parts with 3 / 4 * 360 = 270 coins. She still has 360 coins - 270 coins = 90 coins.
The question and answer pair are described below.
Q: The ratio of coins that Elsa has to that which Amalie has is 10:45. If the total number of coins they have is 440, and Amalie spends 3/4 of what she has on toys, how many will she remain with?
A: 90