For each Multiple Choice Question (MCQ), four options are given. One of them is the correct answer. Make your choice (1,2,3 or 4). Write your answers in the brackets provided..
For each Short Answer Question(SAQ) and Long Answer Question(LAQ), write your answers in the blanks provided.
Leave your answers in the simplest form or correct to two decimal places.
1)
The ratio of the number of males to the number of females in a stadium was 3:4. After 114 females and 114 males left the stadium, the new ratio became 1:2 respectively. How many spectators are there in the stadium now
Answer:_______________
2)
The ratio of the number of boys to the number of girls in a class was 3:4. After 15 girls and 15 boys left the class, the new ratio became 3:5 respectively. How many pupils are there in the class now
Answer:_______________
3)
The ratio of the number of males to the number of females in a factory was 2:3. After 37 females and 37 males left the factory, the new ratio became 1:2 respectively. How many workers are there in the factory now
Answer:_______________
4)
The ratio of the number of adults to the number of childs in an amusement park was 4:5. After 17 childs and 17 adults left the amusement park, the new ratio became 3:4 respectively. How many visitors are there in the amusement park now
Answer:_______________
5)
The ratio of the number of males to the number of females in an office was 4:5. After 25 females and 25 males left the office, the new ratio became 3:5 respectively. How many workers are there in the office now
Answer:_______________
6)
The ratio of the number of males to the number of females in a stadium was 3:4. After 54 females and 54 males left the stadium, the new ratio became 1:2 respectively. How many spectators are there in the stadium now
Answer:_______________
7)
The ratio of the number of boys to the number of girls in a class was 3:4. After 60 girls and 60 boys left the class, the new ratio became 3:5 respectively. How many pupils are there in the class now
Answer:_______________
8)
The ratio of the number of males to the number of females in a factory was 2:3. After 22 females and 22 males left the factory, the new ratio became 1:2 respectively. How many workers are there in the factory now
Answer:_______________
9)
The ratio of the number of adults to the number of childs in an amusement park was 4:5. After 24 childs and 24 adults left the amusement park, the new ratio became 3:4 respectively. How many visitors are there in the amusement park now
Answer:_______________
10)
The ratio of the number of males to the number of females in an office was 4:5. After 10 females and 10 males left the office, the new ratio became 3:5 respectively. How many workers are there in the office now
Answer:_______________
1)
The ratio of the number of males to the number of females in a stadium was 3:4. After 114 females and 114 males left the stadium, the new ratio became 1:2 respectively. How many spectators are there in the stadium now
Answer: 171
SOLUTION 1 :
Before
Males
:
Females
:
Difference
3
:
4
:
1
After
Males
:
Females
:
Difference
1
:
2
:
1
Step 1:
3 units - 1 unit
= 2 units
Step 2:
2 units
= 114
1 unit
= 114 ÷ 2
= 57
Step 3:
1 unit + 2 units
= 3 units
Step 4:
3 units
= 3 x 57
= 171
2)
The ratio of the number of boys to the number of girls in a class was 3:4. After 15 girls and 15 boys left the class, the new ratio became 3:5 respectively. How many pupils are there in the class now
Answer: 40
SOLUTION 1 :
Before
Boys
:
Girls
:
Difference
3x2
:
4x2
:
1x2
6
:
8
:
2
After
Boys
:
Girls
:
Difference
3
:
5
:
2
Step 1:
6 units - 3 units
= 3 units
Step 2:
3 units
= 15
1 unit
= 15 ÷ 3
= 5
Step 3:
3 units + 5 units
= 8 units
Step 4:
8 units
= 8 x 5
= 40
3)
The ratio of the number of males to the number of females in a factory was 2:3. After 37 females and 37 males left the factory, the new ratio became 1:2 respectively. How many workers are there in the factory now
Answer: 111
SOLUTION 1 :
Before
Males
:
Females
:
Difference
2
:
3
:
1
After
Males
:
Females
:
Difference
1
:
2
:
1
Step 1:
2 units - 1 unit
= 1 unit
Step 2:
1 unit
= 37
Step 3:
1 unit + 2 units
= 3 units
Step 4:
3 units
= 3 x 37
= 111
4)
The ratio of the number of adults to the number of childs in an amusement park was 4:5. After 17 childs and 17 adults left the amusement park, the new ratio became 3:4 respectively. How many visitors are there in the amusement park now
Answer: 119
SOLUTION 1 :
Before
Adults
:
Children
:
Difference
4
:
5
:
1
After
Adults
:
Children
:
Difference
3
:
4
:
1
Step 1:
4 units - 3 units
= 1 unit
1 unit
= 17
Step 2:
3 units + 4 units
= 7 units
Step 3:
7 units
= 7 x 17
= 119
5)
The ratio of the number of males to the number of females in an office was 4:5. After 25 females and 25 males left the office, the new ratio became 3:5 respectively. How many workers are there in the office now
Answer: 40
SOLUTION 1 :
Before
Males
:
Females
:
Difference
4x2
:
5x2
:
1x2
8
:
10
:
2
After
Males
:
Females
:
Difference
3
:
5
:
2
Step 1:
8 units - 3 units
= 5 units
Step 2:
5 units
= 25
1 unit
= 25 ÷ 5
= 5
Step 3:
3 units + 5 units
= 8 units
Step 4:
8 units
= 8 x 5
= 40
6)
The ratio of the number of males to the number of females in a stadium was 3:4. After 54 females and 54 males left the stadium, the new ratio became 1:2 respectively. How many spectators are there in the stadium now
Answer: 81
SOLUTION 1 :
Before
Males
:
Females
:
Difference
3
:
4
:
1
After
Males
:
Females
:
Difference
1
:
2
:
1
Step 1:
3 units - 1 unit
= 2 units
Step 2:
2 units
= 54
1 unit
= 54 ÷ 2
= 27
Step 3:
1 unit + 2 units
= 3 units
Step 4:
3 units
= 3 x 27
= 81
7)
The ratio of the number of boys to the number of girls in a class was 3:4. After 60 girls and 60 boys left the class, the new ratio became 3:5 respectively. How many pupils are there in the class now
Answer: 160
SOLUTION 1 :
Before
Boys
:
Girls
:
Difference
3x2
:
4x2
:
1x2
6
:
8
:
2
After
Boys
:
Girls
:
Difference
3
:
5
:
2
Step 1:
6 units - 3 units
= 3 units
Step 2:
3 units
= 60
1 unit
= 60 ÷ 3
= 20
Step 3:
3 units + 5 units
= 8 units
Step 4:
8 units
= 8 x 20
= 160
8)
The ratio of the number of males to the number of females in a factory was 2:3. After 22 females and 22 males left the factory, the new ratio became 1:2 respectively. How many workers are there in the factory now
Answer: 66
SOLUTION 1 :
Before
Males
:
Females
:
Difference
2
:
3
:
1
After
Males
:
Females
:
Difference
1
:
2
:
1
Step 1:
2 units - 1 unit
= 1 unit
Step 2:
1 unit
= 22
Step 3:
1 unit + 2 units
= 3 units
Step 4:
3 units
= 3 x 22
= 66
9)
The ratio of the number of adults to the number of childs in an amusement park was 4:5. After 24 childs and 24 adults left the amusement park, the new ratio became 3:4 respectively. How many visitors are there in the amusement park now
Answer: 168
SOLUTION 1 :
Before
Adults
:
Children
:
Difference
4
:
5
:
1
After
Adults
:
Children
:
Difference
3
:
4
:
1
Step 1:
4 units - 3 units
= 1 unit
1 unit
= 24
Step 2:
3 units + 4 units
= 7 units
Step 3:
7 units
= 7 x 24
= 168
10)
The ratio of the number of males to the number of females in an office was 4:5. After 10 females and 10 males left the office, the new ratio became 3:5 respectively. How many workers are there in the office now