The ratio of Ali's savings to Jack's savings is 7 : 13. If Jack has $494 savings, how much must Jack give to Ali 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, which is 7 (Ali's part) + 13 (Jack's part) = 20 parts.

2. Determine the value of one part by dividing Jack's savings by his part of the ratio. So, $494 / 13 =$38 per part.

3. Calculate Ali's savings by multiplying his part of the ratio by the value of one part. So, 7 parts * $38/part =$266.

4. To make their savings equal, Jack needs to give Ali the difference between his savings and Ali's savings. So, $494 (Jack's savings) -$266 (Ali's savings) = $228.

So, Jack must give $228 to Ali so that both will have the same amount.