The ratio of Faye's savings to Mina's savings is 3 : 7. If Mina has $462 savings, how much must Mina give to Faye so that both will have the same amount?

To solve this problem, we need to follow these steps:

1. Determine the total value of the ratio. In this case, it's 3 (Faye's part) + 7 (Mina's part) = 10 parts.

2. Determine the value of each part. Since Mina's savings represent 7 parts of the total, we divide her savings by 7. So, $462 / 7 =$66 per part.

3. Determine Faye's savings. Since Faye's savings represent 3 parts of the total, we multiply the value of each part by 3. So, $66 * 3 =$198.

4. To make their savings equal, Mina needs to give Faye the difference between her savings and Faye's savings. So, $462 (Mina's savings) -$198 (Faye's savings) = $264.

Therefore, Mina must give $264 to Faye so that both will have the same amount.