Mathematics
How many Grand Slam titles did the player win in each category?

Question Description

During her tennis career, a player won a total of 65 Grand Slam titles in three categories: women's singles, women's doubles, and mixed doubles. Out of this total, her number of wins in women's singles is eight more than her number wins in mixed doubles. Her number of wins in women's doubles is two more than three times her number of wins in mixed doubles. How many Grand Slam titles did the player win in each category?

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let mixed doubles as x

then women single x+8

women's doubles 3x+2

all of them add to 65

3x+2+x+x+8=65

5x=55

x=11

women singles=19

women doubles=35

mixed doubles=11

simsiple (622)
Duke University
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