Let's solve each problem step by step.
---
Problem 1:
Sofia purchased a total of 74 balloons for the party. If she plans on keeping balloons together in sets of 3 and she wants to blow up as many balloons as possible, how many balloons will she not have to blow up?
####
Solution:
1. Sofia has 74 balloons in total.
2. She wants to keep them in sets of 3.
3. To find out how many complete sets of 3 balloons she can make, we divide 74 by 3:
\[
74 \div 3 = 24 \text{ remainder } 2
\]
- This means she can make 24 complete sets of 3 balloons.
- The remainder is 2, which represents the number of balloons that cannot be grouped into a set of 3.
####
Answer:
Sofia will not have to blow up
2 balloons.
---
Problem 2:
Tukker baked 99 spooky cupcakes and placed them on black trays in the living room. If each tray is 8 inches wide and can hold a maximum of 7 cupcakes, how many trays can be completely filled?
####
Solution:
1. Tukker has 99 cupcakes in total.
2. Each tray can hold a maximum of 7 cupcakes.
3. To find out how many trays can be completely filled, we divide 99 by 7:
\[
99 \div 7 = 14 \text{ remainder } 1
\]
- This means Tukker can completely fill 14 trays.
- The remainder is 1, which represents the number of cupcakes that do not fit into a complete tray.
####
Answer:
Tukker can completely fill
14 trays.
---
Problem 3:
Finally, Sofia and Tukker are ready to prepare goodie bags filled with candy to share with their guests. If they have a total of 210 pieces of candy and they want each bag to contain exactly ten pieces of candy, how many goodie bags can they make? Will there be any candy left over?
####
Solution:
1. Sofia and Tukker have 210 pieces of candy in total.
2. Each goodie bag contains exactly 10 pieces of candy.
3. To find out how many goodie bags they can make, we divide 210 by 10:
\[
210 \div 10 = 21 \text{ remainder } 0
\]
- This means they can make 21 goodie bags.
- The remainder is 0, which means there is no candy left over.
####
Answer:
They can make
21 goodie bags, and there will be
no candy left over.
---
Final Answers:
1.
2 balloons will not be blown up.
2.
14 trays can be completely filled.
3. They can make
21 goodie bags, and there will be
no candy left over.
\[
\boxed{2, 14, 21 \text{ and no leftover}}
\]
Parent Tip: Review the logic above to help your child master the concept of division word problem worksheet 5th grade.
