Question

Simmy successfully completed 12 out of 15 of his holiday homework. If he had 45 problems more to complete, how many more problems he need to successfully complete in order to keep up the same level of achivement

Answer 1

In order to keep up the same level of achievement, the ratio of "number of successfully completed questions" to "the number of attempted questions" should remain same.

more problems to complete = 45
let number of problems he need to successfully complete = x

$\frac{12}{15}= \frac{x}{45} \\ \\x= \frac{12}{15} \times 45\\ \\ x=12 \times 3=36$

He should complete 36 questions out of 45 successfully.