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 boys to girls in a bus was 1:2. After 40 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:_______________
2)
The ratio of the number of adults to children in a bus was 2:5. After 88 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:_______________
3)
The ratio of the number of adults to children in a bus was 2 : 5. After 42 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:_______________
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 77 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:_______________
6)
The ratio of the number of men to women in a bus was 3:5. After 77 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:_______________
7)
The ratio of the number of boys to girls in a bus was 1:2. After 95 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:_______________
8)
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:_______________
9)
The ratio of the number of adults to children in a bus was 2 : 5. After 28 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:_______________
10)
The ratio of the number of adults to children in a bus was 3 : 5. After 81 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 boys to girls in a bus was 1:2. After 40 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: 24
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
= 40
1 unit
= 40 ÷ 5
= 8
Step 3:
3 units
= 3 x 8
= 24
2)
The ratio of the number of adults to children in a bus was 2:5. After 88 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: 32
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
= 88
1 unit
= 88 ÷ 11
= 8
Step 3:
4 units
= 4 x 8
= 32
3)
The ratio of the number of adults to children in a bus was 2 : 5. After 42 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: 18
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
= 42
1 unit
= 42 ÷ 14
= 3
Step 3:
6 units
= 6 x 3
= 18
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 77 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: 28
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
= 77
1 unit
= 77 ÷ 11
= 7
Step 3:
4 units
= 4 x 7
= 28
6)
The ratio of the number of men to women in a bus was 3:5. After 77 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: 63
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
= 77
1 unit
= 77 ÷ 11
= 7
Step 3:
9 units
= 9 x 7
= 63
7)
The ratio of the number of boys to girls in a bus was 1:2. After 95 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: 57
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
= 95
1 unit
= 95 ÷ 5
= 19
Step 3:
3 units
= 3 x 19
= 57
8)
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
9)
The ratio of the number of adults to children in a bus was 2 : 5. After 28 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: 12
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
= 28
1 unit
= 28 ÷ 14
= 2
Step 3:
6 units
= 6 x 2
= 12
10)
The ratio of the number of adults to children in a bus was 3 : 5. After 81 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