Grade 5 math worksheet with fraction word problems and a soccer ball image.

Problem 1:

Of the 95 children in 6th grade, $\frac{2}{5}$ went to holiday parties. How many students went to holiday parties in all?

#### Solution:
1. Identify the total number of children: There are 95 children in 6th grade.
2. Fraction of children who went to holiday parties: $\frac{2}{5}$ of the children went to holiday parties.
3. Calculate the number of children who went to holiday parties:
\[
\text{Number of children} = \frac{2}{5} \times 95
\]
4. Perform the multiplication:
\[
\frac{2}{5} \times 95 = \frac{2 \times 95}{5} = \frac{190}{5} = 38
\]

#### Final Answer:
\[
\boxed{38}
\]

---

Problem 2:

Amy has 72 sweets in a bag. She keeps $\frac{1}{6}$ of them for herself and shares the rest with friends. How many sweets will she give to her friends?

#### Solution:
1. Total number of sweets: Amy has 72 sweets.
2. Fraction of sweets Amy keeps: $\frac{1}{6}$ of the sweets.
3. Calculate the number of sweets Amy keeps:
\[
\text{Sweets Amy keeps} = \frac{1}{6} \times 72
\]
4. Perform the multiplication:
\[
\frac{1}{6} \times 72 = \frac{72}{6} = 12
\]
5. Calculate the number of sweets Amy gives to her friends:
\[
\text{Sweets given to friends} = \text{Total sweets} - \text{Sweets Amy keeps}
\]
\[
\text{Sweets given to friends} = 72 - 12 = 60
\]

#### Final Answer:
\[
\boxed{60}
\]

---

Problem 3:

A train arrives at the station with 150 passengers on board. $\frac{2}{5}$ 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?

#### Solution:
1. Initial number of passengers: The train starts with 150 passengers.
2. Fraction of passengers who get off in Seattle: $\frac{2}{5}$ of the passengers get off.
3. Calculate the number of passengers who get off:
\[
\text{Passengers who get off} = \frac{2}{5} \times 150
\]
4. Perform the multiplication:
\[
\frac{2}{5} \times 150 = \frac{2 \times 150}{5} = \frac{300}{5} = 60
\]
5. Calculate the number of passengers remaining after some get off:
\[
\text{Remaining passengers} = \text{Initial passengers} - \text{Passengers who get off}
\]
\[
\text{Remaining passengers} = 150 - 60 = 90
\]
6. Number of passengers who board the train: 35 passengers board the train.
7. Calculate the total number of passengers when the train leaves the station:
\[
\text{Final number of passengers} = \text{Remaining passengers} + \text{Passengers who board}
\]
\[
\text{Final number of passengers} = 90 + 35 = 125
\]

#### Final Answer:
\[
\boxed{125}
\]

---

Problem 4:

30 people watched the soccer game last night. Tickets cost $2.75 each. Half of these fans bought a program for $1.50 each. How much money was collected?

#### Solution:
1. Number of people who watched the game: 30 people.
2. Cost of each ticket: $2.75.
3. Calculate the total revenue from ticket sales:
\[
\text{Revenue from tickets} = \text{Number of people} \times \text{Cost per ticket}
\]
\[
\text{Revenue from tickets} = 30 \times 2.75 = 82.50
\]
4. Number of people who bought programs: Half of the 30 people bought programs.
\[
\text{Number of people who bought programs} = \frac{30}{2} = 15
\]
5. Cost of each program: $1.50.
6. Calculate the total revenue from program sales:
\[
\text{Revenue from programs} = \text{Number of people who bought programs} \times \text{Cost per program}
\]
\[
\text{Revenue from programs} = 15 \times 1.50 = 22.50
\]
7. Calculate the total revenue collected:
\[
\text{Total revenue} = \text{Revenue from tickets} + \text{Revenue from programs}
\]
\[
\text{Total revenue} = 82.50 + 22.50 = 105.00
\]

#### Final Answer:
\[
\boxed{105}
\]

---

Final Answers:

1. \(\boxed{38}\)
2. \(\boxed{60}\)
3. \(\boxed{125}\)
4. \(\boxed{105}\)