In a Nellore survey of 170 people, 10 like none of rice, pancake and fritter. Each single part is 3x, each two-snack part is 2x and the centre is x, as shown. How many people like rice?

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Accepted Answer

80. At least one = 3(3x) + 3(2x) + x = 16x = 170 - 10 = 160, so x = 10. Rice circle = 3x + 2x + 2x + x = 8x = 80. 30 is rice only, 160 is everyone who likes at least one snack, and 70 forgets the centre.

In a Nellore survey of 170 people, 10 like none of rice, pancake and fritter. Each single part is $3 x$ , each two-snack part is $2 x$ and the centre is $x$ , as shown. How many people like rice?

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