Scroll:Ratio >> Fixed Difference >> ps (3080)


Written Instructions:

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 29 childs and 29 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 a stadium was 3:4.
After 136 females and 136 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 32 females and 32 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 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:_______________




5)  

The ratio of the number of boys to the number of girls in a class was 3:4.
After 18 girls and 18 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 20 childs and 20 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 a stadium was 3:4.
After 104 females and 104 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 48 females and 48 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 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:_______________




10)  

The ratio of the number of boys to the number of girls in a class was 3:4.
After 51 girls and 51 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 29 childs and 29 adults left the amusement park, the new ratio became 3:4 respectively.
How many visitors are there in the amusement park now

Answer: 203


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  = 29
Step 2: 3 units + 4 units  = 7 units
Step 3: 7 units  = 7 x 29
    = 203


2)  

The ratio of the number of males to the number of females in a stadium was 3:4.
After 136 females and 136 males left the stadium, the new ratio became 1:2 respectively.
How many spectators are there in the stadium now

Answer: 204


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  = 136
  1 unit  = 136 ÷ 2
    = 68
Step 3: 1 unit + 2 units  = 3 units
Step 4: 3 units  = 3 x 68
    = 204


3)  

The ratio of the number of males to the number of females in a factory was 2:3.
After 32 females and 32 males left the factory, the new ratio became 1:2 respectively.
How many workers are there in the factory now

Answer: 96


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  = 32
Step 3: 1 unit + 2 units  = 3 units
Step 4: 3 units = 3 x 32
    = 96


4)  

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


5)  

The ratio of the number of boys to the number of girls in a class was 3:4.
After 18 girls and 18 boys left the class, the new ratio became 3:5 respectively.
How many pupils are there in the class now

Answer: 48


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 = 18
  1 unit = 18 ÷ 3
    = 6
Step 3: 3 units + 5 units = 8 units
Step 4: 8 units = 8 x 6
    = 48


6)  

The ratio of the number of adults to the number of childs in an amusement park was 4:5.
After 20 childs and 20 adults left the amusement park, the new ratio became 3:4 respectively.
How many visitors are there in the amusement park now

Answer: 140


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  = 20
Step 2: 3 units + 4 units  = 7 units
Step 3: 7 units  = 7 x 20
    = 140


7)  

The ratio of the number of males to the number of females in a stadium was 3:4.
After 104 females and 104 males left the stadium, the new ratio became 1:2 respectively.
How many spectators are there in the stadium now

Answer: 156


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  = 104
  1 unit  = 104 ÷ 2
    = 52
Step 3: 1 unit + 2 units  = 3 units
Step 4: 3 units  = 3 x 52
    = 156


8)  

The ratio of the number of males to the number of females in a factory was 2:3.
After 48 females and 48 males left the factory, the new ratio became 1:2 respectively.
How many workers are there in the factory now

Answer: 144


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  = 48
Step 3: 1 unit + 2 units  = 3 units
Step 4: 3 units = 3 x 48
    = 144


9)  

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


10)  

The ratio of the number of boys to the number of girls in a class was 3:4.
After 51 girls and 51 boys left the class, the new ratio became 3:5 respectively.
How many pupils are there in the class now

Answer: 136


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 = 51
  1 unit = 51 ÷ 3
    = 17
Step 3: 3 units + 5 units = 8 units
Step 4: 8 units = 8 x 17
    = 136