Question

State whether the given statements are true or false: (a) 12 : 18 = 28 : 56
(b) 25 persons : 130 persons = 15kg : 78kg

Answer 1

Answer:

• 12 : 18 = 28 : 56 - False
• 25 persons : 130 persons = 15kg : 78kg - True

Step-by-step explanation:

•  12 : 18 = 28 : 56

$\frac{12}{18} = \frac{28}{56}$

By cross multiplication

$12 \times 56 = 28 \times 18\\672 \neq 504$

So, the given ratio is not equivalent and the statement is false.

• 25 persons : 130 persons = 15kg : 78kg

25   : 130  = 15  : 78

$\frac{25}{130} =\frac{15}{78}$

By cross multiplication

$25 \times 78 =1950\\15 \times 130= 1950\\So, 25 \times 78 =15 \times 130$

So, the given ratio is equivalent and the statement is true.