Let’s solve each problem one by one, step by step.
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Problem 1:
> Of the 95 children in 6th grade, 3/5 went to holiday parties. How many students went to holiday parties in all?
We need to find
3/5 of 95.
Step 1: Divide 95 by 5 → 95 ÷ 5 = 19
Step 2: Multiply that by 3 → 19 × 3 = 57
✔ So,
57 students went to holiday parties.
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Problem 2:
> Amy has 72 sweets in a bag. She keeps 1/4 of them for herself and shares the rest with friends. How many sweets will she give to her friends?
She keeps 1/4, so she gives away the rest → that’s 3/4.
Step 1: Find 1/4 of 72 → 72 ÷ 4 = 18 (this is what she keeps)
Step 2: Subtract from total → 72 - 18 = 54
OR directly: 3/4 of 72 = (72 ÷ 4) × 3 = 18 × 3 = 54
✔ So, she gives
54 sweets to her friends.
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Problem 3:
> A train arrives at the station with 150 passengers on board. 2/5 of the passengers get off the train in Seattle, and then 35 passengers board the train. How many passengers are on the train when it leaves the station?
Step 1: Find how many got off → 2/5 of 150
→ 150 ÷ 5 = 30; 30 × 2 = 60 got off
Step 2: Subtract those who got off → 150 - 60 = 90 left on train
Step 3: Add the 35 new passengers → 90 + 35 = 125
✔ So, there are
125 passengers when the train leaves.
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Problem 4:
> 30 people watched the soccer game last night. Tickets cost $2.75 each. Half of these fans bought a program at $1.50 each. How much money was collected?
Break this into two parts: ticket sales and program sales.
Part 1: Ticket money
→ 30 people × $2.75 = ?
Let’s calculate:
30 × 2.75 = 30 × (2 + 0.75) = (30×2) + (30×0.75) = 60 + 22.50 =
$82.50
Part 2: Program money
Half of 30 = 15 people bought programs
→ 15 × $1.50 = ?
15 × 1.50 = 15 × 1 + 15 × 0.50 = 15 + 7.50 =
$22.50
Total money = tickets + programs = 82.50 + 22.50 =
$105.00
✔ So,
$105 was collected.
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Final Answer:
1. 57
2. 54
3. 125
4. $105
Parent Tip: Review the logic above to help your child master the concept of fraction problems with answers worksheet.
