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# There were 96 members in a club

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There were 96 members in a club. The ratio of the number of female members to male members was 7:5. When 58 new members joined the club, the ratio became 5:6. How many of the new members were males?

Aug 14, 2020

#1
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First calculate the numbers of males and females before more members joined. Per 7 females, there are 5 males. 96/12 is 8, and because every 12 people, there are 7 males, 5 males * 8 groups of twelve people is 40, so there were 40 males, and 96 - 40 = 56 females.The total numbers of males and females after the members  joined is 96 + 58 =154, and now for every 11 people, 5 are females and 6 are males. 154/11 = 14, so there are 14 groups of 11 people. 14 groups of eleven people * 5 females per group of eleven = 70. 70 females now - 56 females before more members joined = 14. The total numbers of members that joined is 58, so 58 - 14 is 44. The answer is 44 males have joined. I hope this helped! :)

Aug 14, 2020
#2
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7 / [7 + 5] * 96 =56 Females originally in the club.
96 - 56 =40 males originally in the club
96 + 58 =154 Total number of males and females.
6 / [5+6] * 154 =84 Total number of males
84 - 40 = 44 New males joined the club.
58 - 44 = 14 New females joined the club
Check: 56:40 =7:5. [56+14]=70:[40+44]=84 =5:6

Aug 14, 2020