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ICSE Class 8 Answered

In a club three tenths of its members play cards only and four tenth play carom board only. If 30 members play none of these games and 120 both. Using venn diagram find total number of members in the club. 
 
Asked by Samar | 18 Jun, 2017, 09:08: PM
answered-by-expert Expert Answer
 
begin mathsize 16px style Let space the space total space number space of space members space be space straight x. Then comma space number space of space members space playing space cards equals 3 over 10 straight x number space of space members space playing space carom equals 4 over 10 straight x number space of space members space playing space cards space and space carom equals 120 number space of space members space playing space nothing equals 30 Thus comma space we space have straight x equals 3 over 10 straight x plus 4 over 10 straight x plus 120 plus 30 rightwards double arrow straight x equals fraction numerator 7 straight x over denominator 10 end fraction plus 150 rightwards double arrow straight x minus fraction numerator 7 straight x over denominator 10 end fraction equals 150 rightwards double arrow fraction numerator 3 straight x over denominator 10 end fraction equals 150 rightwards double arrow straight x equals fraction numerator 150 cross times 10 over denominator 3 end fraction rightwards double arrow straight x equals 500 rightwards double arrow Total space number space of space members equals 500 end style
 
Answered by Rashmi Khot | 19 Jun, 2017, 09:37: AM

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