Real-life mathematics!

Algebra Level 2

In a stadium holding 36000 spectators, there are equal numbers of supporters of Bangladesh and Zimbabwe cricket teams. After the first inning, one-thirds of the total spectators go home. The ratio of Zimbabwe and Bangladesh team supporters becomes 2:3. Calculate the number of Zimbabwe supporters who have left the stadium.

12000 9000 8400 4000

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1 solution

Hung Woei Neoh
Jul 6, 2016

Initially, there were 18000 18000 Zimbabwe supporters.

After the first inning, 2 3 × 36000 = 24000 \dfrac{2}{3} \times 36000 = 24000 spectators were left.

Among these, 2 5 × 24000 = 9600 \dfrac{2}{5} \times 24000 = 9600 spectators are Zimbabwean supporters.

This means that 18000 9600 = 8400 18000-9600 = \boxed{8400} Zimbabwean supporters left the stadium

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