Final answer:
The only possible ratio of lollipops to candy bars that can be made from 42 lollipops and 14 candy bars, when simplified, is 3:1.
Step-by-step explanation:
To find all of the possible ratios of lollipops to candy bars that could be made from 42 lollipops and 14 candy bars, you need to simplify the ratio 42:14. This ratio can be simplified by dividing both numbers by their greatest common divisor (GCD).
The GCD of 42 and 14 is 14. When you divide both terms of the ratio by 14, the simplified ratio is 3:1. This means that for every 3 lollipops, there is 1 candy bar.
There aren't other ratios that can be made without changing the total number of lollipops or candy bars. Therefore, the only possible ratio of lollipops to candy bars from these quantities is 3:1.