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

37 and 614




(                    )




2)  

 Are these ratios equivalent

3 hot dogs : 7 hamburgers

6 hot dogs : 14 hamburgers




(                    )




3)  

 Are these ratios equivalent

 

3 bags of flour : 7 bags of sugar


6 bags of flour : 14 bags of sugar

 




(                    )




4)  

 Are these ratios equivalent

1 paintings for every 6 photographs

2 paintings for every 17 photographs




(                    )




5)  

 Are these ratios equivalent

 

2P : 5 years


5P : 14 years

 




(                    )




6)  

 Are these ratios equivalent

35 and 59




(                    )




7)  

 Are these ratios equivalent

17 and 17




(                    )




8)  

 Are these ratios equivalent

3 hot dogs : 5 hamburgers

9 hot dogs : 15 hamburgers




(                    )




9)  

 Are these ratios equivalent

 

2 bags of flour : 6 bags of sugar


8 bags of flour : 24 bags of sugar

 




(                    )




10)  

 Are these ratios equivalent

1 paintings for every 5 photographs

3 paintings for every 19 photographs




(                    )




 

1)  

 Are these ratios equivalent

37 and 614



Answer: 2


SOLUTION 1 :

Remember:

Two ratios are equivalent if their cross products are equal.

Solve:

37 and 614

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

3 x 14 = 7 x 6

         42 = 42

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

 



2)  

 Are these ratios equivalent

3 hot dogs : 7 hamburgers

6 hot dogs : 14 hamburgers



Answer: 2


SOLUTION 1 :

Remember:

Two ratios are equivalent if their cross products are equal.

Solve:

Write the ratios as fractions.

37 and 614

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

3 x 14 = 7 x 6

         42 = 42

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

 



3)  

 Are these ratios equivalent

 

3 bags of flour : 7 bags of sugar


6 bags of flour : 14 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 614

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

3 x 14 = 7 x 6

         42 = 42

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

 



4)  

 Are these ratios equivalent

1 paintings for every 6 photographs

2 paintings for every 17 photographs



Answer: 1


SOLUTION 1 :

Remember:

Two ratios are equivalent if their cross products are equal.

Solve:

Write the ratios as fractions.

16 and 217

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

1 x 17 = 6 x 2

         17 ⇔ 12

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

 



5)  

 Are these ratios equivalent

 

2R : 5 years


5R : 14 years

 



Answer: 1


SOLUTION 1 :

Remember:

Two ratios are equivalent if their cross products are equal.

Solve:

Write the ratios as fractions.

25 and 514

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

2 x 14 = 5 x 5

         28 ⇔ 25

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

 



6)  

 Are these ratios equivalent

35 and 59



Answer: 2


SOLUTION 1 :

Remember:

Two ratios are equivalent if their cross products are equal.

Solve:

35 and 59

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

3 x 9 = 5 x 5

         27 ⇔ 25

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

 



7)  

 Are these ratios equivalent

17 and 17



Answer: 2


SOLUTION 1 :

Remember:

Two ratios are equivalent if their cross products are equal.

Solve:

17 and 17

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

1 x 7 = 7 x 1

         7 = 7

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

 



8)  

 Are these ratios equivalent

3 hot dogs : 5 hamburgers

9 hot dogs : 15 hamburgers



Answer: 1


SOLUTION 1 :

Remember:

Two ratios are equivalent if their cross products are equal.

Solve:

Write the ratios as fractions.

35 and 915

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

3 x 15 = 5 x 9

         45 = 45

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

 



9)  

 Are these ratios equivalent

 

2 bags of flour : 6 bags of sugar


8 bags of flour : 24 bags of sugar

 



Answer: 1


SOLUTION 1 :

Remember:

Two ratios are equivalent if their cross products are equal.

Solve:

Write the ratios as fractions.

26 and 824

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

2 x 24 = 6 x 8

         48 = 48

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

 



10)  

 Are these ratios equivalent

1 paintings for every 5 photographs

3 paintings for every 19 photographs



Answer: 2


SOLUTION 1 :

Remember:

Two ratios are equivalent if their cross products are equal.

Solve:

Write the ratios as fractions.

15 and 319

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

1 x 19 = 5 x 3

         19 ⇔ 15

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