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

 

3B : 6 years


8B : 17 years

 




(                    )




2)  

 Are these ratios equivalent

37 and 513




(                    )




3)  

 Are these ratios equivalent

3 paintings for every 6 photographs

11 paintings for every 23 photographs




(                    )




4)  

 Are these ratios equivalent

 

2 bags of flour : 5 bags of sugar


6 bags of flour : 15 bags of sugar

 




(                    )




5)  

 Are these ratios equivalent

2 hot dogs : 7 hamburgers

2 hot dogs : 7 hamburgers




(                    )




6)  

 Are these ratios equivalent

34 and 34




(                    )




7)  

 Are these ratios equivalent

 

3T : 4 years


11T : 15 years

 




(                    )




8)  

 Are these ratios equivalent

34 and 23




(                    )




9)  

 Are these ratios equivalent

3 paintings for every 7 photographs

11 paintings for every 27 photographs




(                    )




10)  

 Are these ratios equivalent

 

3 bags of flour : 7 bags of sugar


3 bags of flour : 7 bags of sugar

 




(                    )




 

1)  

 Are these ratios equivalent

 

3E : 6 years


8E : 17 years

 



Answer: 1


SOLUTION 1 :

Remember:

Two ratios are equivalent if their cross products are equal.

Solve:

Write the ratios as fractions.

36 and 817

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

3 x 17 = 6 x 8

         51 ⇔ 48

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

 



2)  

 Are these ratios equivalent

37 and 513



Answer: 2


SOLUTION 1 :

Remember:

Two ratios are equivalent if their cross products are equal.

Solve:

37 and 513

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

3 x 13 = 7 x 5

         39 ⇔ 35

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

 



3)  

 Are these ratios equivalent

3 paintings for every 6 photographs

11 paintings for every 23 photographs



Answer: 2


SOLUTION 1 :

Remember:

Two ratios are equivalent if their cross products are equal.

Solve:

Write the ratios as fractions.

36 and 1123

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

3 x 23 = 6 x 11

         69 ⇔ 66

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

 



4)  

 Are these ratios equivalent

 

2 bags of flour : 5 bags of sugar


6 bags of flour : 15 bags of sugar

 



Answer: 1


SOLUTION 1 :

Remember:

Two ratios are equivalent if their cross products are equal.

Solve:

Write the ratios as fractions.

25 and 615

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

2 x 15 = 5 x 6

         30 = 30

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

 



5)  

 Are these ratios equivalent

2 hot dogs : 7 hamburgers

2 hot dogs : 7 hamburgers



Answer: 2


SOLUTION 1 :

Remember:

Two ratios are equivalent if their cross products are equal.

Solve:

Write the ratios as fractions.

27 and 27

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

2 x 7 = 7 x 2

         14 = 14

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

 



6)  

 Are these ratios equivalent

34 and 34



Answer: 2


SOLUTION 1 :

Remember:

Two ratios are equivalent if their cross products are equal.

Solve:

34 and 34

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

3 x 4 = 4 x 3

         12 = 12

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

 



7)  

 Are these ratios equivalent

 

3Y : 4 years


11Y : 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.

 



8)  

 Are these ratios equivalent

34 and 23



Answer: 2


SOLUTION 1 :

Remember:

Two ratios are equivalent if their cross products are equal.

Solve:

34 and 23

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

3 x 3 = 4 x 2

         9 ⇔ 8

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

 



9)  

 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.

 



10)  

 Are these ratios equivalent

 

3 bags of flour : 7 bags of sugar


3 bags of flour : 7 bags of sugar

 



Answer: 2


SOLUTION 1 :

Remember:

Two ratios are equivalent if their cross products are equal.

Solve:

Write the ratios as fractions.

37 and 37

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

3 x 7 = 7 x 3

         21 = 21

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