Naomi caught half as many fish as jack did. together they caught 18 fish.
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how many fish did jack catch?

To answer this question we will use trial and error

Naomi caught 2 times less fish

So if Jack caught 6
Naomi caught 3
Total 9

So if Jack caught 8
Naomi caught 4
Total 12

So if Jack caught 10
Naomi caught 5
Total 15

So if Jack caught 12
Naomi caught 6
Total 18. <—————

Therefore Jack caught 12 fish