Let's solve each of these
mixed operation word problems step by step and explain the reasoning.
---
Problem 1:
Luke is baking 24 cookies for his classmates. He can make 6 cookies in one batch. How many batches of cookies will he need?
Solution:
We need to divide the total number of cookies by the number of cookies per batch:
$$
24 \div 6 = 4
$$
✔ Answer: Luke needs
4 batches.
---
Problem 2:
The flower shop had 125 flowers for sale. There were 47 pink flowers and 35 purple flowers. The rest was red. How many flowers were red?
Solution:
First, add the number of pink and purple flowers:
$$
47 + 35 = 82
$$
Then subtract from the total to find the red flowers:
$$
125 - 82 = 43
$$
✔ Answer: There were
43 red flowers.
---
Problem 3:
Sophie wants to buy a fish tank and 2 fish. She has $75. The tank with decorations costs $50. The fish each cost $8 and the food is $6. Does Sophie have enough money to buy the tank and fish?
Solution:
Calculate total cost:
- Tank: $50
- 2 fish: $8 × 2 = $16
- Food: $6
Total cost:
$$
50 + 16 + 6 = 72
$$
Sophie has $75, and $75 > $72 → she has enough.
✔ Answer: Yes, Sophie has enough money. She spends $72 and has $3 left.
---
Problem 4:
The Jay family adopted a cat from the animal shelter. They spent $55 on the adoption fee, $125 on supplies, and then donated $50 to the shelter. How much money did they spend in all?
Solution:
Add up all the amounts they spent:
$$
55 + 125 + 50 = 230
$$
✔ Answer: They spent
$230 in total.
---
Problem 5:
The bakery had 4 dozen cupcakes. By noon 28 cupcakes had been sold. How many cupcakes are left at the bakery?
Solution:
First, convert dozens to individual cupcakes:
$$
4 \text{ dozen} = 4 × 12 = 48 \text{ cupcakes}
$$
Subtract the sold ones:
$$
48 - 28 = 20
$$
✔ Answer: There are
20 cupcakes left.
---
✔ Final Answers Summary:
1.
4 batches
2.
43 red flowers
3.
Yes, she has enough money ($72 needed, $75 available)
4.
$230 spent in total
5.
20 cupcakes left
Let me know if you'd like this formatted as a worksheet or explained further!
Parent Tip: Review the logic above to help your child master the concept of mixed word problems.
