Answer :
Final answer:
Susie can make 6 bags with the same number of lollipops and chocolate bars by finding the Greatest Common Divisor (GCD) of 18 and 30, which is 6. Each bag will have 3 lollipops and 5 chocolate bars.
Explanation:
To find the greatest amount of bags Susie can make with the same number of lollipops and chocolate bars using all the candy, we need to determine the greatest common divisor (GCD) of 18 (lollipops) and 30 (chocolate bars). The GCD is the largest number that divides both numbers without leaving a remainder.
- List the factors of 18: 1, 2, 3, 6, 9, 18.
- List the factors of 30: 1, 2, 3, 5, 6, 10, 15, 30.
- Identify the greatest common factor: 6.
Susie can make 6 bags with an equal amount of lollipops and chocolate bars.
Each bag will contain 3 lollipops (since 18 divided by 6 equals 3) and 5 chocolate bars (since 30 divided by 6 equals 5).