GRE Sample Test 5 Quantitative Reasoning 2

Question : 10 of 20

Marks: +1, -0

Last season, a certain basketball team won

7/{10}

of its first 50 games and

1/2

of its remaining games. If the team won

5/8

of all of its games, how many games did the team play last season?

Solution:

Let t = total games played. The number of games won =

7/{10} (50)+(1/2) (t-50)

.
Since the team won

5/8

of all games played, we can create theequation:

7/{10} (50)+(1/2) (t-50)

5/8 (t)

Simplify:
35 +

t/2

- 25 =

5/8 (t)

→ 10 +

t/2

5/8 (t)

→ 10 =

5/8 (t) - t/2

→ 10 =

5/8 (t) - 4/8 (t)

→ 10 =

t/8

→ 80 = t

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