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In Winterland School, 2/5 of the students walk to school. The remaining students travel to school by bus and bicycle in the ratio 7:2. Given that 224 fewer students travel to school by bicycle than by walking, how many students are there in Winterland School?

 Aug 24, 2021
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w = (2/5) s
(3/5) s = others = bike + bus
bus/bike = 7/2
bike = (w - 224)
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bus = 7 (w-224) / 2 = 7[(2/10)s - 112 ] 
bike = (2/5)s - 224
sum = (3/5) s
so
(3/5) s = (2/5)s - 224 + 7[(2/10)s - 112 ]
6 s = 4 s - 2240 + 14 s - 784
-12 s = -3024
s = 252

 Dec 5, 2021

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