Question

A Parks and Recreation department in a small city conducts a survey to determine what recreational activities for children it should offer. Of the 1200 respondents,400 parents wanted soccer offered625 parents wanted baseball/softball offered370 parents wanted tennis offered150 parents wanted soccer and tennis offered315 parents wanted soccer and baseball/softball offered230 parents wanted baseball/softball and tennis offered75 parents wanted all three sports offeredHow many parents didn’t want any of these sports offered?a) 155b) 75c) 0d) 425

Answer 1

There were 1200 respondents:

400 parents wanted soccer offered

370 parents wanted tennis offered

625 parents wanted baseball/softball offered

150 parents wanted soccer and tennis offered

315 parents wanted soccer and baseball/softball offered

230 parents wanted baseball/softball and tennis offered

75 parents wanted all three sports offered

Therefore:

We have to add all the options that were mixed with different sports:

150 + 315 + 230 = 695 - 75= 620 (We subtract 75 because it's already included in the other values as we can see in the diagram)

We have to add all the parents that chose only one sport:

400 + 370 + 625= 1395

We have to subtract 620 from 1395:

1395 - 620= 775 parents who chose any sport

Now:

1200 - 775 = 425 respondents who didn't want any.

Therefore, 425 parents didn't want any of the sports offered.

The answer is D) 425.