Club A has 17 members and Club B has 25 members. If there is a total of 38 people that belong to the two clubs, how many people belong to both clubs?

I know the answer and the steps required to solve it but I'm uncertain about why those steps are necessary.

Answers (1)
  1. Meylani
    X = both clubs

    Club B has 25 - x ... u take the total and subtract the ones that are in both

    Club A has 17 - x ... same here ^

    x + (25 - x) + (17 - x) = 38 ... so both + club B + club A = total

    -2x + x + 42 = 38

    -x = 38 - 42

    -x = - 4

    x = 4 ... so there are 4 members that belong to both clubs <==

    so there are 17 - 4 = 13 in club A only

    and 25 - 4 = 21 in club B only

    4 in both

    13 + 21 + 4 = 38

    38 = 38 (correct)

    answer is : 4 in both
Guest
Know the Answer?

Not Sure About the Answer?
💡 Find an answer to your question "Club A has 17 members and Club B has 25 members. If there is a total of 38 people that belong to the two clubs, how many people belong to ..." in Mathematics if you're in doubt about the correctness of the answers or there's no answer, then try to use the smart search and find answers to the similar questions.

See Other Answers