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 an office was 4:5. After 15 females and 15 males left the office, the new ratio became 3:5 respectively. How many workers are there in the office now
Answer:_______________
2)
The ratio of the number of males to the number of females in a stadium was 3:4. After 102 females and 102 males left the stadium, the new ratio became 1:2 respectively. How many spectators are there in the stadium now
Answer:_______________
3)
The ratio of the number of males to the number of females in a factory was 2:3. After 54 females and 54 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 boys to the number of girls in a class was 3:4. After 57 girls and 57 boys left the class, the new ratio became 3:5 respectively. How many pupils are there in the class now
Answer:_______________
5)
The ratio of the number of adults to the number of childs in an amusement park was 4:5. After 18 childs and 18 adults left the amusement park, the new ratio became 3:4 respectively. How many visitors are there in the amusement park now
Answer:_______________
6)
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:_______________
7)
The ratio of the number of males to the number of females in a stadium was 3:4. After 142 females and 142 males left the stadium, the new ratio became 1:2 respectively. How many spectators are there in the stadium now
Answer:_______________
8)
The ratio of the number of males to the number of females in a factory was 2:3. After 59 females and 59 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 boys to the number of girls in a class was 3:4. After 45 girls and 45 boys left the class, the new ratio became 3:5 respectively. How many pupils are there in the class now
Answer:_______________
10)
The ratio of the number of adults to the number of childs in an amusement park was 4:5. After 28 childs and 28 adults left the amusement park, the new ratio became 3:4 respectively. How many visitors are there in the amusement park now
Answer:_______________
1)
The ratio of the number of males to the number of females in an office was 4:5. After 15 females and 15 males left the office, the new ratio became 3:5 respectively. How many workers are there in the office now
Answer: 24
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
= 15
1 unit
= 15 ÷ 5
= 3
Step 3:
3 units + 5 units
= 8 units
Step 4:
8 units
= 8 x 3
= 24
2)
The ratio of the number of males to the number of females in a stadium was 3:4. After 102 females and 102 males left the stadium, the new ratio became 1:2 respectively. How many spectators are there in the stadium now
Answer: 153
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
= 102
1 unit
= 102 ÷ 2
= 51
Step 3:
1 unit + 2 units
= 3 units
Step 4:
3 units
= 3 x 51
= 153
3)
The ratio of the number of males to the number of females in a factory was 2:3. After 54 females and 54 males left the factory, the new ratio became 1:2 respectively. How many workers are there in the factory now
Answer: 162
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
= 54
Step 3:
1 unit + 2 units
= 3 units
Step 4:
3 units
= 3 x 54
= 162
4)
The ratio of the number of boys to the number of girls in a class was 3:4. After 57 girls and 57 boys left the class, the new ratio became 3:5 respectively. How many pupils are there in the class now
Answer: 152
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
= 57
1 unit
= 57 ÷ 3
= 19
Step 3:
3 units + 5 units
= 8 units
Step 4:
8 units
= 8 x 19
= 152
5)
The ratio of the number of adults to the number of childs in an amusement park was 4:5. After 18 childs and 18 adults left the amusement park, the new ratio became 3:4 respectively. How many visitors are there in the amusement park now
Answer: 126
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
= 18
Step 2:
3 units + 4 units
= 7 units
Step 3:
7 units
= 7 x 18
= 126
6)
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
7)
The ratio of the number of males to the number of females in a stadium was 3:4. After 142 females and 142 males left the stadium, the new ratio became 1:2 respectively. How many spectators are there in the stadium now
Answer: 213
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
= 142
1 unit
= 142 ÷ 2
= 71
Step 3:
1 unit + 2 units
= 3 units
Step 4:
3 units
= 3 x 71
= 213
8)
The ratio of the number of males to the number of females in a factory was 2:3. After 59 females and 59 males left the factory, the new ratio became 1:2 respectively. How many workers are there in the factory now
Answer: 177
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
= 59
Step 3:
1 unit + 2 units
= 3 units
Step 4:
3 units
= 3 x 59
= 177
9)
The ratio of the number of boys to the number of girls in a class was 3:4. After 45 girls and 45 boys left the class, the new ratio became 3:5 respectively. How many pupils are there in the class now
Answer: 120
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
= 45
1 unit
= 45 ÷ 3
= 15
Step 3:
3 units + 5 units
= 8 units
Step 4:
8 units
= 8 x 15
= 120
10)
The ratio of the number of adults to the number of childs in an amusement park was 4:5. After 28 childs and 28 adults left the amusement park, the new ratio became 3:4 respectively. How many visitors are there in the amusement park now