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South African Mathematics Olympiad Second Round

South Africa algebra

Problem

There are twice as many girls as boys at a school. If of the girls and of the boys have already completed their holiday project, what percentage of the learners still needs to complete their project?
Solution
For convenience assume there are learners, i.e. girls and boys.

of is and of is .

Thus, learners have completed their project.

The percentage of learners who still need to complete their project is thus
Final answer
65%

Techniques

Fractions