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 5 photographs

2 paintings for every 4 photographs




(                    )




2)  

 Are these ratios equivalent

35 and 915




(                    )




3)  

 Are these ratios equivalent

2 hot dogs : 5 hamburgers

2 hot dogs : 5 hamburgers




(                    )




4)  

 Are these ratios equivalent

 

2U : 4 years


7U : 15 years

 




(                    )




5)  

 Are these ratios equivalent

25 and 719




(                    )




6)  

 Are these ratios equivalent

 

2 bags of flour : 5 bags of sugar


2 bags of flour : 5 bags of sugar

 




(                    )




7)  

 Are these ratios equivalent

2 paintings for every 6 photographs

1 paintings for every 5 photographs




(                    )




8)  

 Are these ratios equivalent

34 and 912




(                    )




9)  

 Are these ratios equivalent

1 hot dogs : 6 hamburgers

3 hot dogs : 18 hamburgers




(                    )




10)  

 Are these ratios equivalent

 

2E : 7 years


5E : 20 years

 




(                    )




 

1)  

 Are these ratios equivalent

3 paintings for every 5 photographs

2 paintings for every 4 photographs



Answer: 1


SOLUTION 1 :

Remember:

Two ratios are equivalent if their cross products are equal.

Solve:

Write the ratios as fractions.

35 and 24

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

3 x 4 = 5 x 2

         12 ⇔ 10

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

 



2)  

 Are these ratios equivalent

35 and 915



Answer: 2


SOLUTION 1 :

Remember:

Two ratios are equivalent if their cross products are equal.

Solve:

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.

 



3)  

 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.

 



4)  

 Are these ratios equivalent

 

2C : 4 years


7C : 15 years

 



Answer: 1


SOLUTION 1 :

Remember:

Two ratios are equivalent if their cross products are equal.

Solve:

Write the ratios as fractions.

24 and 715

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

2 x 15 = 4 x 7

         30 ⇔ 28

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

 



5)  

 Are these ratios equivalent

25 and 719



Answer: 2


SOLUTION 1 :

Remember:

Two ratios are equivalent if their cross products are equal.

Solve:

25 and 719

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

2 x 19 = 5 x 7

         38 ⇔ 35

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

 



6)  

 Are these ratios equivalent

 

2 bags of flour : 5 bags of sugar


2 bags of flour : 5 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 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.

 



7)  

 Are these ratios equivalent

2 paintings for every 6 photographs

1 paintings for every 5 photographs



Answer: 2


SOLUTION 1 :

Remember:

Two ratios are equivalent if their cross products are equal.

Solve:

Write the ratios as fractions.

26 and 15

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

2 x 5 = 6 x 1

         10 ⇔ 6

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

 



8)  

 Are these ratios equivalent

34 and 912



Answer: 1


SOLUTION 1 :

Remember:

Two ratios are equivalent if their cross products are equal.

Solve:

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.

 



9)  

 Are these ratios equivalent

1 hot dogs : 6 hamburgers

3 hot dogs : 18 hamburgers



Answer: 2


SOLUTION 1 :

Remember:

Two ratios are equivalent if their cross products are equal.

Solve:

Write the ratios as fractions.

16 and 318

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

1 x 18 = 6 x 3

         18 = 18

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

 



10)  

 Are these ratios equivalent

 

2V : 7 years


5V : 20 years

 



Answer: 2


SOLUTION 1 :

Remember:

Two ratios are equivalent if their cross products are equal.

Solve:

Write the ratios as fractions.

27 and 520

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

2 x 20 = 7 x 5

         40 ⇔ 35

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