Final answer:
To determine how many coins Frankle has, we can use proportions. Using the given information, we set up a proportion to find the unknown value of coins Frankle has.
Step-by-step explanation:
To determine how many coins Frankle has, we can use a ratio to represent the relationship between the number of coins Carmen has and the number of coins Frankle has. In this case, for every 5 coins Carmen gets, she gives 2 to Frankle. So the ratio of the coins Carmen has to the coins Frankle has is 5:2.
Since Carmen has 9 coins, we can set up a proportion to find the number of coins Frankle has. We'll set up the proportion:
5/2 = 9/x
By cross-multiplying, we get 5x = 18. Dividing both sides by 5, we find that x = 3. Therefore, Frankle has 3 coins.