Question

Amber and Yenni have $46 altogether. Amber and Peter have $54 altogether. Peter and Yenni have $66 altogether. What is the ratio of Yenni's share to the total sum of money?

a) 1:3
b) 2:5
c) 3:7
d) 4:9

Answer 1

To find the ratio of Yenni's share to the total sum of money, we can solve a system of equations. The ratio is 3:7.

Step-by-step explanation:

To find the ratio of Yenni's share to the total sum of money, we need to determine the individual amounts each person has. Let's assign variables to each person: Amber=A, Yenni=Y, Peter=P. From the given information, we can set up the following equations:

1. A + Y = 46
2. A + P = 54
3. P + Y = 66

We can solve this system of equations to find the individual amounts. Subtracting equation 1 from equation 2, we get P - Y = 8. Adding this equation to equation 3, we have 2P = 74, so P = 37. Substituting P = 37 into equation 3, we find Y = 29. Finally, the ratio of Yenni's share to the total sum of money is 29:46, which simplifies to 3:7.