Let's solve each problem step by step:
---
Problem 1:
The cost of 15 cycles is $24,405. Find the cost of each cycle.
Solution:
To find the cost of each cycle, we need to divide the total cost by the number of cycles.
\[
\text{Cost of each cycle} = \frac{\text{Total cost}}{\text{Number of cycles}} = \frac{24,405}{15}
\]
Perform the division:
\[
24,405 \div 15 = 1,627
\]
Answer:
\[
\boxed{1,627}
\]
---
Problem 2:
The cost of 35 ceiling fans is $43,050. How much does each fan cost?
Solution:
To find the cost of each ceiling fan, we need to divide the total cost by the number of fans.
\[
\text{Cost of each fan} = \frac{\text{Total cost}}{\text{Number of fans}} = \frac{43,050}{35}
\]
Perform the division:
\[
43,050 \div 35 = 1,230
\]
Answer:
\[
\boxed{1,230}
\]
---
Problem 3:
The product of two numbers is 4131. If one of them is 27, find the other.
Solution:
Let the two numbers be \( x \) and \( y \). We are given:
\[
x \times y = 4131
\]
and one of the numbers, say \( x \), is 27. So:
\[
27 \times y = 4131
\]
To find \( y \), divide both sides by 27:
\[
y = \frac{4131}{27}
\]
Perform the division:
\[
4131 \div 27 = 153
\]
Answer:
\[
\boxed{153}
\]
---
Problem 4:
840 students were to be seated in 20 rows of an auditorium. If an equal number of students sat in each row, how many students were there in each row?
Solution:
To find the number of students in each row, we need to divide the total number of students by the number of rows.
\[
\text{Students per row} = \frac{\text{Total students}}{\text{Number of rows}} = \frac{840}{20}
\]
Perform the division:
\[
840 \div 20 = 42
\]
Answer:
\[
\boxed{42}
\]
---
Problem 5:
The annual income of Sam is $98,364. What is his monthly income if he earns an equal amount every month?
Solution:
To find the monthly income, we need to divide the annual income by 12 (since there are 12 months in a year).
\[
\text{Monthly income} = \frac{\text{Annual income}}{12} = \frac{98,364}{12}
\]
Perform the division:
\[
98,364 \div 12 = 8,197
\]
Answer:
\[
\boxed{8,197}
\]
---
Final Answers:
1. \(\boxed{1,627}\)
2. \(\boxed{1,230}\)
3. \(\boxed{153}\)
4. \(\boxed{42}\)
5. \(\boxed{8,197}\)
Parent Tip: Review the logic above to help your child master the concept of division word problems 5th grade worksheet.
