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

2 hot dogs : 5 hamburgers

6 hot dogs : 15 hamburgers




(                    )




2)  

 Are these ratios equivalent

1 paintings for every 7 photographs

1 paintings for every 13 photographs




(                    )




3)  

 Are these ratios equivalent

 

1 bags of flour : 6 bags of sugar


4 bags of flour : 24 bags of sugar

 




(                    )




4)  

 Are these ratios equivalent

 

3L : 5 years


8L : 14 years

 




(                    )




5)  

 Are these ratios equivalent

24 and 612




(                    )




6)  

 Are these ratios equivalent

17 and 113




(                    )




7)  

 Are these ratios equivalent

1 hot dogs : 4 hamburgers

2 hot dogs : 8 hamburgers




(                    )




8)  

 Are these ratios equivalent

1 paintings for every 7 photographs

2 paintings for every 20 photographs




(                    )




9)  

 Are these ratios equivalent

 

1 bags of flour : 7 bags of sugar


2 bags of flour : 14 bags of sugar

 




(                    )




10)  

 Are these ratios equivalent

 

3I : 4 years


5I : 7 years

 




(                    )




 

1)  

 Are these ratios equivalent

2 hot dogs : 5 hamburgers

6 hot dogs : 15 hamburgers



Answer: 2


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.

 



2)  

 Are these ratios equivalent

1 paintings for every 7 photographs

1 paintings for every 13 photographs



Answer: 2


SOLUTION 1 :

Remember:

Two ratios are equivalent if their cross products are equal.

Solve:

Write the ratios as fractions.

17 and 113

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

1 x 13 = 7 x 1

         13 ⇔ 7

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

 



3)  

 Are these ratios equivalent

 

1 bags of flour : 6 bags of sugar


4 bags of flour : 24 bags of sugar

 



Answer: 2


SOLUTION 1 :

Remember:

Two ratios are equivalent if their cross products are equal.

Solve:

Write the ratios as fractions.

16 and 424

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

1 x 24 = 6 x 4

         24 = 24

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

 



4)  

 Are these ratios equivalent

 

3D : 5 years


8D : 14 years

 



Answer: 1


SOLUTION 1 :

Remember:

Two ratios are equivalent if their cross products are equal.

Solve:

Write the ratios as fractions.

35 and 814

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

3 x 14 = 5 x 8

         42 ⇔ 40

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

 



5)  

 Are these ratios equivalent

24 and 612



Answer: 2


SOLUTION 1 :

Remember:

Two ratios are equivalent if their cross products are equal.

Solve:

24 and 612

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

2 x 12 = 4 x 6

         24 = 24

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

 



6)  

 Are these ratios equivalent

17 and 113



Answer: 2


SOLUTION 1 :

Remember:

Two ratios are equivalent if their cross products are equal.

Solve:

17 and 113

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

1 x 13 = 7 x 1

         13 ⇔ 7

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

 



7)  

 Are these ratios equivalent

1 hot dogs : 4 hamburgers

2 hot dogs : 8 hamburgers



Answer: 1


SOLUTION 1 :

Remember:

Two ratios are equivalent if their cross products are equal.

Solve:

Write the ratios as fractions.

14 and 28

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

1 x 8 = 4 x 2

         8 = 8

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

 



8)  

 Are these ratios equivalent

1 paintings for every 7 photographs

2 paintings for every 20 photographs



Answer: 1


SOLUTION 1 :

Remember:

Two ratios are equivalent if their cross products are equal.

Solve:

Write the ratios as fractions.

17 and 220

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

1 x 20 = 7 x 2

         20 ⇔ 14

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

 



9)  

 Are these ratios equivalent

 

1 bags of flour : 7 bags of sugar


2 bags of flour : 14 bags of sugar

 



Answer: 1


SOLUTION 1 :

Remember:

Two ratios are equivalent if their cross products are equal.

Solve:

Write the ratios as fractions.

17 and 214

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

1 x 14 = 7 x 2

         14 = 14

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

 



10)  

 Are these ratios equivalent

 

3M : 4 years


5M : 7 years

 



Answer: 2


SOLUTION 1 :

Remember:

Two ratios are equivalent if their cross products are equal.

Solve:

Write the ratios as fractions.

34 and 57

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

3 x 7 = 4 x 5

         21 ⇔ 20

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