Posted by **Rose** on Wednesday, January 11, 2012 at 5:58pm.

During her tennis career, a player won a total of 60 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 of in wins in mixed doubles. Her number of wins in women's doubles is 2 more than 3 times her number of wins in mixed doubles. How many Grand Slam titles did the player win in each category?

- Algebra 1 -
**Steve**, Thursday, January 12, 2012 at 12:07am
Let a = no. of singles titles

Let b = no. of women's doubles titles

Let c = no. of mixed doubles titles

a + b + c = 60

a = c+8

b = 2 + 3c

c+8 + 2+3c + c = 60

5c + 10 = 60

5c=50

c=10

so,

a = 18

b = 32

so,

18 = no. of singles titles

32 = no. of women's doubles titles

10 = no. of mixed doubles titles

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