Final answer:
After setting up and solving a system of equations based on the information provided, we find that Carmen has $10, Ryan has $16, and Milan has $48. This sums up to the total amount of $74 they collectively have in their wallets, which doesn't match any of the given options, indicating an issue with the question or the choices provided.
Step-by-step explanation:
To determine how much money Carmen, Milan, and Ryan have in their wallets, we need to set up a system of equations based on the information given:
- Carmen, Milan, and Ryan have a total of $74.
- Milan has 3 times what Ryan has.
- Ryan has $6 more than Carmen.
Let's denote the amount of money Carmen has as C, Milan as M, and Ryan as R.
Based on the information:
- M = 3R (Milan has 3 times what Ryan has)
- R = C + $6 (Ryan has $6 more than Carmen)
- C + M + R = $74 (The total amount they have)
We substitute M and R from the first two equations into the third equation:
C + 3R + R = $74
C + 4R = $74
Because R = C + $6, we can substitute C + $6 in place of R:
C + 4(C + $6) = $74
Now, we solve for C:
C + 4C + $24 = $74
5C + $24 = $74
5C = $50
C = $10
Now that we know Carmen has $10, we can find out what Ryan has:
R = C + $6 = $10 + $6 = $16
And Milan's amount is 3 times Ryan's:
M = 3R = 3 × $16 = $48
Let's verify the total:
C + M + R = $10 + $48 + $16 = $74
The correct answer matches none of the provided options, suggesting a possible error in the question or the options given.