228k views
1 vote
William has 24 cans of fruit and 60 cans of vegetables that he will be putting into bags for a food drive. He wants each bag to have the same number of cans of each type of food. He uses all the cans. Use the drop-down menus to complete the statements below about the number of bags of food William can make. CLEAR CHECK The greatest number of bags William can make is . Each of these bags will have cans of fruit and cans of vegetables. If he made fewer bags, . He could use bags, but this is not the greatest number he could use.

User BenCamps
by
8.4k points

1 Answer

7 votes

Answer:

See explanation

Explanation:

William has 24 cans of fruit and 60 cans of vegetables that he will be putting into bags for a food drive.

Factor number 24 and 60:


24=2\cdot 12=2\cdot 2\cdot 6=2\cdot 2\cdot 2\cdot 3=2^3\cdot 3\\ \\60=2\cdot 30=2\cdot 2\cdot 15=2\cdot 2\cdot 3\cdot 5=2^2\cdot 3\cdot 5

Find the greatest common factor


GCF(24,60)=2^2\cdot 3=12

Hence, the greatest number of bags William can make is 12.

Each of these bags will have
24/ 12=2 cans of fruit and
60/ 12=5 cans of vegetables.

If he made fewer bags, 6 bags, each of these bags will have
24/ 6=4 cans of fruit and
60/ 6=10 cans of vegetables.

If he made fewer bags, 4 bags, each of these bags will have
24/ 4=6 cans of fruit and
60/ 4=15 cans of vegetables.

If he made fewer bags, 3 bags, each of these bags will have
24/ 3=8 cans of fruit and
60/ 3=20 cans of vegetables.

If he made fewer bags, 2 bags, each of these bags will have
24/ 2=12 cans of fruit and
60/ 2=30 cans of vegetables.

User LaszloLadanyi
by
8.1k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories