Scroll:Ratios and proportions >> Equivalent ratios: word problems >> mcq (4078)


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)  

 Are these ratios equivalent

3 paintings for every 7 photographs

11 paintings for every 27 photographs




(                    )




2)  

 Are these ratios equivalent

15 and 214




(                    )




3)  

 Are these ratios equivalent

36 and 918




(                    )




4)  

 Are these ratios equivalent

2 hot dogs : 5 hamburgers

2 hot dogs : 5 hamburgers




(                    )




5)  

 Are these ratios equivalent

 

3G : 4 years


11G : 15 years

 




(                    )




6)  

 Are these ratios equivalent

 

3 bags of flour : 4 bags of sugar


6 bags of flour : 8 bags of sugar

 




(                    )




7)  

 Are these ratios equivalent

1 paintings for every 7 photographs

3 paintings for every 27 photographs




(                    )




8)  

 Are these ratios equivalent

26 and 517




(                    )




9)  

 Are these ratios equivalent

34 and 1216




(                    )




10)  

 Are these ratios equivalent

3 hot dogs : 4 hamburgers

9 hot dogs : 12 hamburgers




(                    )




 

1)  

 Are these ratios equivalent

3 paintings for every 7 photographs

11 paintings for every 27 photographs



Answer: 1


SOLUTION 1 :

Remember:

Two ratios are equivalent if their cross products are equal.

Solve:

Write the ratios as fractions.

37 and 1127

Compare the two cross products. Multiply the numerator of one fraction and the denominator of the other.

3 x 27 = 7 x 11

         81 ⇔ 77

The cross products are not equal, so the ratios are not equivalent.

 



2)  

 Are these ratios equivalent

15 and 214



Answer: 2


SOLUTION 1 :

Remember:

Two ratios are equivalent if their cross products are equal.

Solve:

15 and 214

Compare the two cross products. Multiply the numerator of one fraction and the denominator of the other.

1 x 14 = 5 x 2

         14 ⇔ 10

The cross products are not equal, so the ratios are not equivalent.

 



3)  

 Are these ratios equivalent

36 and 918



Answer: 1


SOLUTION 1 :

Remember:

Two ratios are equivalent if their cross products are equal.

Solve:

36 and 918

Compare the two cross products. Multiply the numerator of one fraction and the denominator of the other.

3 x 18 = 6 x 9

         54 = 54

The cross products are equal, so the ratios are equivalent.

 



4)  

 Are these ratios equivalent

2 hot dogs : 5 hamburgers

2 hot dogs : 5 hamburgers



Answer: 1


SOLUTION 1 :

Remember:

Two ratios are equivalent if their cross products are equal.

Solve:

Write the ratios as fractions.

25 and 25

Compare the two cross products. Multiply the numerator of one fraction and the denominator of the other.

2 x 5 = 5 x 2

         10 = 10

The cross products are equal, so the ratios are equivalent.

 



5)  

 Are these ratios equivalent

 

3R : 4 years


11R : 15 years

 



Answer: 2


SOLUTION 1 :

Remember:

Two ratios are equivalent if their cross products are equal.

Solve:

Write the ratios as fractions.

34 and 1115

Compare the two cross products. Multiply the numerator of one fraction and the denominator of the other.

3 x 15 = 4 x 11

         45 ⇔ 44

The cross products are not equal, so the ratios are not equivalent.

 



6)  

 Are these ratios equivalent

 

3 bags of flour : 4 bags of sugar


6 bags of flour : 8 bags of sugar

 



Answer: 1


SOLUTION 1 :

Remember:

Two ratios are equivalent if their cross products are equal.

Solve:

Write the ratios as fractions.

34 and 68

Compare the two cross products. Multiply the numerator of one fraction and the denominator of the other.

3 x 8 = 4 x 6

         24 = 24

The cross products are equal, so the ratios are equivalent.

 



7)  

 Are these ratios equivalent

1 paintings for every 7 photographs

3 paintings for every 27 photographs



Answer: 2


SOLUTION 1 :

Remember:

Two ratios are equivalent if their cross products are equal.

Solve:

Write the ratios as fractions.

17 and 327

Compare the two cross products. Multiply the numerator of one fraction and the denominator of the other.

1 x 27 = 7 x 3

         27 ⇔ 21

The cross products are not equal, so the ratios are not equivalent.

 



8)  

 Are these ratios equivalent

26 and 517



Answer: 1


SOLUTION 1 :

Remember:

Two ratios are equivalent if their cross products are equal.

Solve:

26 and 517

Compare the two cross products. Multiply the numerator of one fraction and the denominator of the other.

2 x 17 = 6 x 5

         34 ⇔ 30

The cross products are not equal, so the ratios are not equivalent.

 



9)  

 Are these ratios equivalent

34 and 1216



Answer: 2


SOLUTION 1 :

Remember:

Two ratios are equivalent if their cross products are equal.

Solve:

34 and 1216

Compare the two cross products. Multiply the numerator of one fraction and the denominator of the other.

3 x 16 = 4 x 12

         48 = 48

The cross products are equal, so the ratios are equivalent.

 



10)  

 Are these ratios equivalent

3 hot dogs : 4 hamburgers

9 hot dogs : 12 hamburgers



Answer: 2


SOLUTION 1 :

Remember:

Two ratios are equivalent if their cross products are equal.

Solve:

Write the ratios as fractions.

34 and 912

Compare the two cross products. Multiply the numerator of one fraction and the denominator of the other.

3 x 12 = 4 x 9

         36 = 36

The cross products are equal, so the ratios are equivalent.