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

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 =
`(2)/(5)`

⇒ For x correct answer number of stars =
`(2x)/(5)`

According to the question,

He want to get 12 stars,

⇒
`(2x)/(5)=12`

⇒
`2 x = 60`

⇒
`x = 30`

Thus, the minimum number of correct answer is 30.