Let's solve each problem step by step and explain the reasoning.
---
Problem 1:
Question: There were 33 caterpillars in the garden. Some more crawled in. Now there are 59 caterpillars in the garden. How many caterpillars crawled in?
Solution:
We need to find out how many caterpillars crawled into the garden. Let's denote the number of caterpillars that crawled in as \( x \).
The initial number of caterpillars is 33, and after some crawled in, the total became 59. This can be expressed as:
\[
33 + x = 59
\]
To find \( x \), we subtract 33 from both sides of the equation:
\[
x = 59 - 33
\]
\[
x = 26
\]
So, the number of caterpillars that crawled in is 26.
Correct Answer: B. \( 33 + \_\_ = 59 \)
---
Problem 2:
Question: Austin had 72 candies. He gave 29 of them to Trent. How many candies does Austin have left?
Solution:
Austin initially had 72 candies. After giving 29 candies to Trent, the number of candies he has left is:
\[
72 - 29
\]
Perform the subtraction:
\[
72 - 29 = 43
\]
So, Austin has 43 candies left.
Correct Answer: A. \( 72 - 29 = \_\_ \)
---
Problem 3:
Question: There were 20 sharks near the shore. 17 more sharks swam in. How many sharks are near the shore now?
Solution:
Initially, there were 20 sharks near the shore. When 17 more sharks swam in, the total number of sharks becomes:
\[
20 + 17
\]
Perform the addition:
\[
20 + 17 = 37
\]
So, there are 37 sharks near the shore now.
Correct Answer: C. \( 20 + 17 = \_\_ \)
---
Problem 4:
Question: If balconies on one side of the building are evenly spaced in 3 rows with 5 balconies in each row, how many balconies are there all together?
Solution:
There are 3 rows, and each row has 5 balconies. To find the total number of balconies, we multiply the number of rows by the number of balconies per row:
\[
3 \times 5
\]
Perform the multiplication:
\[
3 \times 5 = 15
\]
So, there are 15 balconies in total.
Correct Answer: C. \( 3 \times 5 = \_\_ \)
---
Problem 5:
Question: On the bookshelf, there are 9 rows with the same number of books in each row. If there are 27 books all together, how many books are in each row?
Solution:
Let the number of books in each row be \( x \). Since there are 9 rows and a total of 27 books, we can write:
\[
9 \times x = 27
\]
To find \( x \), we divide both sides of the equation by 9:
\[
x = \frac{27}{9}
\]
\[
x = 3
\]
So, there are 3 books in each row.
Correct Answer: A. \( 27 / 9 = \_\_ \)
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Final Answers:
1. B
2. A
3. C
4. C
5. A
Boxed Final Answer:
\[
\boxed{B, A, C, C, A}
\]
Parent Tip: Review the logic above to help your child master the concept of 6th grade algebra word problems worksheet.