The swim and diving clubs at Riverdale High School have a total of 55 members and no student is a member of both teams. 1/3 of t he swim team members are seniors and 1/5 of the diving team members are seniors. If there are 13 seniors in the two clubs, how many members does each club have? Let x represent the total number of swim club members and let y represent the total number of diving club members.
2 answers:
We can write two equations from the given information.
<u>Let x represent the total number of swim club members and let y represent the total number of diving club members</u>
<em>"The swim and diving clubs at Riverdale High School have a total of 55 members"</em> <em> </em>
<em>"1/3 of the swim team members are seniors and 1/5 of the diving team members are seniors. If there are 13 seniors in the two clubs..." </em> <em> </em>
Solving these 2 equations simultaneously for x and y will give us the number of members in swim and diving clubs at Riverdale High School.
We can write first equation as , and substitute x into the second equation to get,
Since , plugging in into this gives .
ANSWER: Swim club has 15 members and Diving club has 40 members.
The first question x+y=55 The second question (1/3)x+(1/5)y=13 The third question 25
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