Answer :
### Solution:
#### Question 11:
A primary school went on a tour of an island. There were eight buses that carried 46 passengers each and four vans that carried 22 passengers each. How many people went on the tour?
Step-by-Step Solution:
1. Calculate the total number of passengers in the buses:
- There were 8 buses.
- Each bus carried 46 passengers.
- Total passengers in buses = [tex]\( 8 \times 46 = 368 \)[/tex] passengers.
2. Calculate the total number of passengers in the vans:
- There were 4 vans.
- Each van carried 22 passengers.
- Total passengers in vans = [tex]\( 4 \times 22 = 88 \)[/tex] passengers.
3. Calculate the total number of people on the tour:
- Total passengers = passengers in buses + passengers in vans.
- Total passengers = [tex]\( 368 + 88 = 456 \)[/tex] passengers.
Answer: 456 people went on the tour.
#### Question 12:
A shop owner donated 20 boxes of fruit juice packs for the school tour. Each box contained 24 packs. Were there enough fruit juice packs to give one to each person?
Step-by-Step Solution:
1. Calculate the total number of fruit juice packs:
- There were 20 boxes.
- Each box contained 24 packs.
- Total fruit juice packs = [tex]\( 20 \times 24 = 480 \)[/tex] packs.
2. Compare the total number of fruit juice packs to the total number of passengers:
- Total number of people on the tour = 456.
- Total number of fruit juice packs = 480.
- Since 480 packs are greater than 456 passengers, there are enough fruit juice packs.
Answer: Yes, there were enough fruit juice packs to give one to each person.
#### Question 13:
14400 of the students each paid [tex]$3.00 to enter the caves and $[/tex]2.00 to enter the animal reserve. How much money was paid altogether?
Step-by-Step Solution:
1. Calculate the total amount paid by each student:
- Entrance fee for the caves = \[tex]$3.00. - Entrance fee for the animal reserve = \$[/tex]2.00.
- Total entrance fee per student = [tex]\( \$3.00 + \$2.00 = \$5.00 \)[/tex].
2. Calculate the total amount of money paid by all students:
- Number of students = 14400.
- Total money paid = [tex]\( 14400 \times \$5.00 = \$72000.00 \)[/tex].
Answer: \$72000.00 was paid altogether.
#### Question 15:
The students went on a hike that passed through a gully that was [tex]\(1.78 \text{ km}\)[/tex] long. The hike continued through a forest for [tex]\(1.26 \text{ km}\)[/tex]. How far was the hike altogether?
Step-by-Step Solution:
1. Calculate the total hiking distance:
- Distance through the gully = [tex]\(1.78 \text{ km}\)[/tex].
- Distance through the forest = [tex]\(1.26 \text{ km}\)[/tex].
- Total hiking distance = [tex]\( 1.78 \text{ km} + 1.26 \text{ km} = 3.04 \text{ km} \)[/tex].
Answer: The total hiking distance was 3.04 km.
#### Question 11:
A primary school went on a tour of an island. There were eight buses that carried 46 passengers each and four vans that carried 22 passengers each. How many people went on the tour?
Step-by-Step Solution:
1. Calculate the total number of passengers in the buses:
- There were 8 buses.
- Each bus carried 46 passengers.
- Total passengers in buses = [tex]\( 8 \times 46 = 368 \)[/tex] passengers.
2. Calculate the total number of passengers in the vans:
- There were 4 vans.
- Each van carried 22 passengers.
- Total passengers in vans = [tex]\( 4 \times 22 = 88 \)[/tex] passengers.
3. Calculate the total number of people on the tour:
- Total passengers = passengers in buses + passengers in vans.
- Total passengers = [tex]\( 368 + 88 = 456 \)[/tex] passengers.
Answer: 456 people went on the tour.
#### Question 12:
A shop owner donated 20 boxes of fruit juice packs for the school tour. Each box contained 24 packs. Were there enough fruit juice packs to give one to each person?
Step-by-Step Solution:
1. Calculate the total number of fruit juice packs:
- There were 20 boxes.
- Each box contained 24 packs.
- Total fruit juice packs = [tex]\( 20 \times 24 = 480 \)[/tex] packs.
2. Compare the total number of fruit juice packs to the total number of passengers:
- Total number of people on the tour = 456.
- Total number of fruit juice packs = 480.
- Since 480 packs are greater than 456 passengers, there are enough fruit juice packs.
Answer: Yes, there were enough fruit juice packs to give one to each person.
#### Question 13:
14400 of the students each paid [tex]$3.00 to enter the caves and $[/tex]2.00 to enter the animal reserve. How much money was paid altogether?
Step-by-Step Solution:
1. Calculate the total amount paid by each student:
- Entrance fee for the caves = \[tex]$3.00. - Entrance fee for the animal reserve = \$[/tex]2.00.
- Total entrance fee per student = [tex]\( \$3.00 + \$2.00 = \$5.00 \)[/tex].
2. Calculate the total amount of money paid by all students:
- Number of students = 14400.
- Total money paid = [tex]\( 14400 \times \$5.00 = \$72000.00 \)[/tex].
Answer: \$72000.00 was paid altogether.
#### Question 15:
The students went on a hike that passed through a gully that was [tex]\(1.78 \text{ km}\)[/tex] long. The hike continued through a forest for [tex]\(1.26 \text{ km}\)[/tex]. How far was the hike altogether?
Step-by-Step Solution:
1. Calculate the total hiking distance:
- Distance through the gully = [tex]\(1.78 \text{ km}\)[/tex].
- Distance through the forest = [tex]\(1.26 \text{ km}\)[/tex].
- Total hiking distance = [tex]\( 1.78 \text{ km} + 1.26 \text{ km} = 3.04 \text{ km} \)[/tex].
Answer: The total hiking distance was 3.04 km.
