Here are the step-by-step solutions for the three problems on your worksheet.
Problem a
Goal: Find the total number of people in the hall.
1.
Calculate people in buses:
There are 12 buses, and each carries 35 people.
$12 \times 35 = 420$ people.
2.
Calculate people in cars:
There are 20 private cars, and each carries 3 people.
$20 \times 3 = 60$ people.
3.
Add them together:
$420 + 60 = 480$ people.
Problem b
Goal: Find how many *more* minutes Matty worked on Wednesday than on Tuesday.
1.
Find Tuesday's time:
Matty worked 450 minutes on Monday. On Tuesday, he worked half that amount.
$450 \div 2 = 225$ minutes.
2.
Compare with Wednesday:
On Wednesday, he worked 300 minutes.
To find "how many more," subtract Tuesday's time from Wednesday's time.
$300 - 225 = 75$ minutes.
Problem c
Goal: Calculate the total money earned in four weeks.
1.
Find eggs per week:
There are 10 chickens, and each lays an average of 12 eggs per week.
$10 \times 12 = 120$ eggs per week.
2.
Convert eggs to dozens:
Since eggs are sold by the dozen, divide the weekly total by 12.
$120 \div 12 = 10$ dozens per week.
3.
Calculate weekly earnings:
She sells them for $\$2$ per dozen.
$10 \text{ dozens} \times \$2 = \$20$ per week.
4.
Calculate total for four weeks:
Multiply the weekly earnings by 4.
$\$20 \times 4 = \$80$.
Final Answer:
a. 480 people
b. 75 minutes
c. $80
Parent Tip: Review the logic above to help your child master the concept of problem solving worksheet 5th grade.