The ratio of A's to total number of card is 2 to 3.
The right answer is Option b.
Step-by-step explanation:
Given,
Total number of cards = 12
Let,
Number of cards written A on them = a
Number of cards written B on them = b
According to given statement;
a + b = 12 Eqn 1
a = 2b Eqn 2
Putting value of a from Eqn 2 in Eqn 1
[tex]2b+b=12\\3b=12[/tex]
Dividing both sides by 3
[tex]\frac{3b}{3}=\frac{12}{3}\\b=4[/tex]
Putting b=4 in Eqn 2
a = 2(4) = 8
Ratio of A's cards to total number of cards = 8 : 12
Simplifying
Ratio of A's to total number of cards = 2 : 3
The ratio of A's to total number of card is 2 to 3.
The right answer is Option b.
