Bunuel wrote:

At a country club, 75% of the members play golf and 60% of the members play tennis. What percent of the members play both golf and tennis?

A. 25%

B. 35%

C. 50%

D. 60%

E. Cannot be determined

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With percentages, often it is good to start with

total number of members = 100

If there are 100 members:

75% play golf: 75 play golf

60% play tennis: 60 play tennis

Can there be two sets,

ONLY golf players and

ONLY tennis players?

75 + 65 = 135. No

135 - 100 members =

AT LEAST 35 must play both (see diagram)

But - all 60 tennis players might also play golf.

AT MOST, 60 can play both - see diagram(Only 75 play golf. The other sport is tennis.

60 play tennis. The group of 60 could be

inside the group of 75. In that case,

60 of the 75 golf players are also tennis players.),

35 of 100: 35% MUST play both

60 of 100: 60% MIGHT (can) play both

There is no way to decide.

Highest percent possible play both?

Lowest percent possible play both?

Some percent in between?

We need more information.

Answer E

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