An athletics club has junior (i.e. boy or girl) members and adult members. The ratio of girls to boys to adults is 3 : 4 : 9 and there are 16 more adult members than junior members.In total, how many members does the club have
Question
An athletics club has junior (i.e. boy or girl) members and adult members. The ratio of girls to boys to adults is 3 : 4 : 9 and there are 16 more adult members than junior members.In total, how many members does the club have
Solution
To solve this problem, we first need to understand that the ratio given is for every 3 girls, there are 4 boys and 9 adults.
Step 1: Add up the ratio numbers: 3 (girls) + 4 (boys) + 9 (adults) = 16 parts in total.
Step 2: We know that there are 16 more adults than junior members. So, the number of junior members (girls + boys) is 3 (girls) + 4 (boys) = 7 parts.
Step 3: If there are 16 more adults than junior members, then each part in our ratio is equal to 16 / 2 = 8 members (since the difference between adults and juniors in the ratio is 2 parts).
Step 4: Multiply the total parts in the ratio (16) by the number of members each part represents (8) to find the total number of members in the club: 16 * 8 = 128 members.
So, the club has 128 members in total.
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