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GRE Sample Test 5 Quantitative Reasoning 2
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© examsnet.com
Question : 10
Total: 20
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?
75
80
85
90
95
Validate
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
© examsnet.com
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