A salon offers three services–manicures, massages, and hair styling. Five clients come in for all three services. Forty clients come in for both hair styling and
manicures. Thirty-five clients come in for both manicures and massages. Fifteen
clients come in for both hair styling and massages. Ten clients come
in only for massages. Five clients only come in for hair styling and only two
clients come in for just manicures. How many total clients are represented by
the data?