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?
The total ratio of the coins they both have is 10+45 = 
<gadget id="calculator">10+45</gadget>
<output>55</output>
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 = 
<gadget id="calculator">45/55*440</gadget>
<output>360</output>
360 coins.
When Amalie spends 3/4 of what she has, she parts with 3/4*360 = 
<gadget id="calculator">3/4*360</gadget>
<output>270</output>
270 coins.
She still has 360 coins - 270 coins = 
<gadget id="calculator">360-270</gadget>
<output>90</output>
90 coins.

<result>90</result>