Question

Theo gets 2 stars for every 5 correct answers he gives. What is the minimum number of correct answers Theo must give if he wants to get 12 stars?

Answer 1

Answer: 30

Step-by-step explanation:

Let, he gave x correct answer.

Since, He gets 2 stars for every 5 correct answer.

⇒ For 5 correct answers number of stars = 2

⇒ For 1 correct answer number of stars = $\frac{2}{5}$

⇒ For x correct answer number of stars = $\frac{2x}{5}$

According to the question,

He want to get 12 stars,

⇒ $\frac{2x}{5}=12$

⇒ $2 x = 60$

⇒ $x = 30$

Thus, the minimum number of correct answer is 30.