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 adults to the number of childs in an amusement park was 4:5. After 14 childs and 14 adults left the amusement park, the new ratio became 3:4 respectively. How many visitors are there in the amusement park now
Answer:_______________
2)
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:_______________
3)
The ratio of the number of males to the number of females in a stadium was 3:4. After 66 females and 66 males left the stadium, the new ratio became 1:2 respectively. How many spectators are there in the stadium now
Answer:_______________
4)
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:_______________
5)
The ratio of the number of boys to the number of girls in a class was 3:4. After 99 girls and 99 boys left the class, the new ratio became 3:5 respectively. How many pupils are there in the class now
Answer:_______________
6)
The ratio of the number of adults to the number of childs in an amusement park was 4:5. After 13 childs and 13 adults left the amusement park, the new ratio became 3:4 respectively. How many visitors are there in the amusement park now
Answer:_______________
7)
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:_______________
8)
The ratio of the number of males to the number of females in a stadium was 3:4. After 90 females and 90 males left the stadium, the new ratio became 1:2 respectively. How many spectators are there in the stadium now
Answer:_______________
9)
The ratio of the number of males to the number of females in a factory was 2:3. After 49 females and 49 males left the factory, the new ratio became 1:2 respectively. How many workers are there in the factory now
Answer:_______________
10)
The ratio of the number of boys to the number of girls in a class was 3:4. After 39 girls and 39 boys left the class, the new ratio became 3:5 respectively. How many pupils are there in the class now
Answer:_______________
1)
The ratio of the number of adults to the number of childs in an amusement park was 4:5. After 14 childs and 14 adults left the amusement park, the new ratio became 3:4 respectively. How many visitors are there in the amusement park now
Answer: 98
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
= 14
Step 2:
3 units + 4 units
= 7 units
Step 3:
7 units
= 7 x 14
= 98
2)
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
3)
The ratio of the number of males to the number of females in a stadium was 3:4. After 66 females and 66 males left the stadium, the new ratio became 1:2 respectively. How many spectators are there in the stadium now
Answer: 99
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
= 66
1 unit
= 66 ÷ 2
= 33
Step 3:
1 unit + 2 units
= 3 units
Step 4:
3 units
= 3 x 33
= 99
4)
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
5)
The ratio of the number of boys to the number of girls in a class was 3:4. After 99 girls and 99 boys left the class, the new ratio became 3:5 respectively. How many pupils are there in the class now
Answer: 264
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
= 99
1 unit
= 99 ÷ 3
= 33
Step 3:
3 units + 5 units
= 8 units
Step 4:
8 units
= 8 x 33
= 264
6)
The ratio of the number of adults to the number of childs in an amusement park was 4:5. After 13 childs and 13 adults left the amusement park, the new ratio became 3:4 respectively. How many visitors are there in the amusement park now
Answer: 91
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
= 13
Step 2:
3 units + 4 units
= 7 units
Step 3:
7 units
= 7 x 13
= 91
7)
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
8)
The ratio of the number of males to the number of females in a stadium was 3:4. After 90 females and 90 males left the stadium, the new ratio became 1:2 respectively. How many spectators are there in the stadium now
Answer: 135
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
= 90
1 unit
= 90 ÷ 2
= 45
Step 3:
1 unit + 2 units
= 3 units
Step 4:
3 units
= 3 x 45
= 135
9)
The ratio of the number of males to the number of females in a factory was 2:3. After 49 females and 49 males left the factory, the new ratio became 1:2 respectively. How many workers are there in the factory now
Answer: 147
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
= 49
Step 3:
1 unit + 2 units
= 3 units
Step 4:
3 units
= 3 x 49
= 147
10)
The ratio of the number of boys to the number of girls in a class was 3:4. After 39 girls and 39 boys left the class, the new ratio became 3:5 respectively. How many pupils are there in the class now