Thread: Problem Solving

In a particular school a number of VCE students obtained a tertiary entrance score higher than 99.4 and 15% more students obtained a score higher than 99.0, but lower than 99.4. If there were 43 students whose tertiary entrance scores were above 99.0, how many of those obtained a score above 99.4?

Originally Posted by Joker37

In a particular school a number of VCE students obtained a tertiary entrance score higher than 99.4 and 15% more students obtained a score higher than 99.0, but lower than 99.4. If there were 43 students whose tertiary entrance scores were above 99.0, how many of those obtained a score above 99.4?

Let x = number with score > 99.4.
Then x + 0.15x = 1.15x = number with score > 99.0 but < 99.4.

Therefore x + 1.15x = 43. Solve for x.