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 children in a bus was 2:5. After 44 adults boarded the bus, the ratio of the number of adults to children is now 3:2. How many adults were there in the bus at first
Answer:_______________
2)
The ratio of the number of men to women in a bus was 3:5. After 22 men boarded the bus, the ratio of the number of men to women is now 4:3. How many men were there in the bus at first
Answer:_______________
3)
The ratio of the number of adults to children in a bus was 2:5. After 22 adults boarded the bus, the ratio of the number of adults to children is now 3:2. How many adults were there in the bus at first
Answer:_______________
4)
The ratio of the number of adults to children in a bus was 3 : 5. After 36 adults boarded the bus, the ratio of the number of adults to children is now 3 : 2. How many adults were there in the bus at first
Answer:_______________
5)
The ratio of the number of adults to children in a bus was 2 : 5. After 84 adults boarded the bus, the ratio of the number of adults to children is now 4 : 3. How many adults were there in the bus at first
Answer:_______________
6)
The ratio of the number of boys to girls in a bus was 1:2. After 60 boys boarded the bus, the ratio of the number of boys to girls is now 4:3. How many boys were there in the bus at first
Answer:_______________
7)
The ratio of the number of adults to children in a bus was 2:5. After 22 adults boarded the bus, the ratio of the number of adults to children is now 3:2. How many adults were there in the bus at first
Answer:_______________
8)
The ratio of the number of men to women in a bus was 3:5. After 55 men boarded the bus, the ratio of the number of men to women is now 4:3. How many men were there in the bus at first
Answer:_______________
9)
The ratio of the number of adults to children in a bus was 2:5. After 44 adults boarded the bus, the ratio of the number of adults to children is now 3:2. How many adults were there in the bus at first
Answer:_______________
10)
The ratio of the number of adults to children in a bus was 3 : 5. After 63 adults boarded the bus, the ratio of the number of adults to children is now 3 : 2. How many adults were there in the bus at first
Answer:_______________
1)
The ratio of the number of adults to children in a bus was 2:5. After 44 adults boarded the bus, the ratio of the number of adults to children is now 3:2. How many adults were there in the bus at first
Answer: 16
SOLUTION 1 :
Before
A
:
C
2
:
5
4
:
10
After
A
:
C
3
:
2
15
:
10
Step 1:
15 units - 4 units
= 11 units
Step 2:
11 units
= 44
1 unit
= 44 ÷ 11
= 4
Step 3:
4 units
= 4 x 4
= 16
2)
The ratio of the number of men to women in a bus was 3:5. After 22 men boarded the bus, the ratio of the number of men to women is now 4:3. How many men were there in the bus at first
Answer: 18
SOLUTION 1 :
Before
Men
:
Women
3
:
5
9
:
15
After
Men
:
Women
4
:
3
20
:
15
Step 1:
20 units - 9 units
= 11 units
Step 2:
11 units
= 22
1 unit
= 22 ÷ 11
= 2
Step 3:
9 units
= 9 x 2
= 18
3)
The ratio of the number of adults to children in a bus was 2:5. After 22 adults boarded the bus, the ratio of the number of adults to children is now 3:2. How many adults were there in the bus at first
Answer: 8
SOLUTION 1 :
Before
Adults
:
Children
2
:
5
4
:
10
After
Adults
:
Children
3
:
2
15
:
10
Step 1:
15 units - 4 units
= 11 units
Step 2:
11 units
= 22
1 unit
= 22 ÷ 11
= 2
Step 3:
4 units
= 4 x 2
= 8
4)
The ratio of the number of adults to children in a bus was 3 : 5. After 36 adults boarded the bus, the ratio of the number of adults to children is now 3 : 2. How many adults were there in the bus at first
Answer: 24
SOLUTION 1 :
Before
Adults
:
Children
3
:
5
6
:
10
After
Adults
:
Children
3
:
2
15
:
10
Step 1:
15 units - 6 units
= 9 units
Step 2:
9 units
= 36
1 unit
= 36 ÷ 9
= 4
Step 3:
6 units
= 6 x 4
= 24
5)
The ratio of the number of adults to children in a bus was 2 : 5. After 84 adults boarded the bus, the ratio of the number of adults to children is now 4 : 3. How many adults were there in the bus at first
Answer: 36
SOLUTION 1 :
Before
Adults
:
Children
2
:
5
6
:
15
After
Adults
:
Children
4
:
3
20
:
15
Step 1:
20 units - 6 units
= 14 units
Step 2:
14 units
= 84
1 unit
= 84 ÷ 14
= 6
Step 3:
6 units
= 6 x 6
= 36
6)
The ratio of the number of boys to girls in a bus was 1:2. After 60 boys boarded the bus, the ratio of the number of boys to girls is now 4:3. How many boys were there in the bus at first
Answer: 36
SOLUTION 1 :
Before
Boys
:
Girls
1
:
2
3
:
6
After
Boys
:
Girls
4
:
3
8
:
6
Step 1:
8 units - 3 units
= 5 units
Step 2:
5 units
= 60
1 unit
= 60 ÷ 5
= 12
Step 3:
3 units
= 3 x 12
= 36
7)
The ratio of the number of adults to children in a bus was 2:5. After 22 adults boarded the bus, the ratio of the number of adults to children is now 3:2. How many adults were there in the bus at first
Answer: 8
SOLUTION 1 :
Before
A
:
C
2
:
5
4
:
10
After
A
:
C
3
:
2
15
:
10
Step 1:
15 units - 4 units
= 11 units
Step 2:
11 units
= 22
1 unit
= 22 ÷ 11
= 2
Step 3:
4 units
= 4 x 2
= 8
8)
The ratio of the number of men to women in a bus was 3:5. After 55 men boarded the bus, the ratio of the number of men to women is now 4:3. How many men were there in the bus at first
Answer: 45
SOLUTION 1 :
Before
Men
:
Women
3
:
5
9
:
15
After
Men
:
Women
4
:
3
20
:
15
Step 1:
20 units - 9 units
= 11 units
Step 2:
11 units
= 55
1 unit
= 55 ÷ 11
= 5
Step 3:
9 units
= 9 x 5
= 45
9)
The ratio of the number of adults to children in a bus was 2:5. After 44 adults boarded the bus, the ratio of the number of adults to children is now 3:2. How many adults were there in the bus at first
Answer: 16
SOLUTION 1 :
Before
Adults
:
Children
2
:
5
4
:
10
After
Adults
:
Children
3
:
2
15
:
10
Step 1:
15 units - 4 units
= 11 units
Step 2:
11 units
= 44
1 unit
= 44 ÷ 11
= 4
Step 3:
4 units
= 4 x 4
= 16
10)
The ratio of the number of adults to children in a bus was 3 : 5. After 63 adults boarded the bus, the ratio of the number of adults to children is now 3 : 2. How many adults were there in the bus at first