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Do Unto Caesar

At the beginning of the night three poker players; Alan, Bernie and Craig had money in the ratios 7 : 6 : 5. At the end of the night the ratio was 6 : 5 : 4. One of them won $1 200. What were the assets of the players at the beginning of the evening?

Adding Triangles

Stage: 3 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

What fraction of the whole piece of paper is the largest triangle?
What fraction of the whole piece of paper is the second triangle which is labelled number 2?
Try adding the area of the next triangle in the series each time and noting the answer.

As you keep adding areas on, what fraction are your answers getting closer to?
Try working out equivalent fractions so that they all have the same denominator, then you can compare sizes easily - you may like to use a calculator to help with the larger numbers!