Maths Olympiad Prep

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, 2013

Algebra Difficulty 1.4 Junior Find the answer Canada

On Monday, Ramya read 15\frac{1}{5} of a 300 page novel. On Tuesday, she read 415\frac{4}{15} of the remaining pages. How many pages did she read in total on Monday and Tuesday?

Pick one

Solution

On Monday, Ramya read 15\frac{1}{5} of the 300 pages, which is 15×300=60\frac{1}{5}\times 300 = 60 pages in total.

After Monday, there were 30060=240300-60=240 pages remaining to be read in the novel.

On Tuesday, Ramya read 415\frac{4}{15} of these remaining 240 pages, or 415×240=96015=64\frac{4}{15}\times 240 = \frac{960}{15}=64 pages.

Therefore, she read 60+64=12460+64=124 pages in total over these two days.

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