Final answer:
Ann received $150, Mary received $250, and the total amount of money shared between Ann, Jimmy, and Mary was $850.
Step-by-step explanation:
The question involves determining the amounts of money received by Ann and Mary, and the total amount of money shared between Ann, Jimmy, and Mary given the ratio in which they received the money and the amount Jimmy received.
To solve this, we use the given ratio of 3:9:5 that represents the shares of Ann, Jimmy, and Mary respectively. Since Jimmy's share is 9 parts of the ratio and he received $450, we can find the value of one part of the ratio by dividing $450 by 9, which gives us $50 for one part.
To find the amount Ann and Mary received, we multiply the number of parts they got by the value of each part. Ann received 3 parts, so she got 3 x $50 = $150. Mary received 5 parts, so she got 5 x $50 = $250.
The total amount of money shared is the sum of Ann's, Jimmy's, and Mary's shares, which is $150 (Ann) + $450 (Jimmy) + $250 (Mary) = $850.