Question

If there are 40 lollipops and 60 candy bars for a gift bag, fill out all of the possible ratios of lollipops to candy bars that could be made.

Answer 1

The simplest ratio of lollipops to candy bars is 2:3. Other possible ratios are multiples of this simplest form (e.g. 4:6, 6:9, ..., 40:60).

Step-by-step explanation:

The student has asked about the possible ratios of lollipops to candy bars. Since there are 40 lollipops and 60 candy bars, the simplest form of the ratio is to divide both quantities by their greatest common divisor. In this case, both 40 and 60 are divisible by 20.

Step-by-step explanation:

1. Find the greatest common divisor (GCD) of 40 and 60, which is 20.
2. Divide the number of lollipops (40) by the GCD (20) to get 2.
3. Divide the number of candy bars (60) by the GCD (20) to get 3.
4. The simplest form of the ratio is therefore 2 lollipops for every 3 candy bars.

Other possible ratios can be multiples of the simplest form: 4 lollipops to 6 candy bars, 6 lollipops to 9 candy bars, etc., until we reach the actual numbers: 40 lollipops to 60 candy bars.

The ratios can be:

• 2:3
• 4:6
• 6:9
• ...
• 40:60