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Effectus [21]
3 years ago
11

Shelley's basketball team won 3/4 of their games last season. In 1/6 of the games they won, they outscored their opponents by mo

re than 10 points. What fraction of their games did Shelley’s team win by more than 10 points?
Mathematics
2 answers:
iVinArrow [24]3 years ago
6 0

Let the total number of games be x.

Number of games Shelley's team won = \frac{3}{4} x

Number of games they outscored

their opponents by more than 10 points = \frac{1}{6} × \frac{3}{4} x

= \frac{1}{8} x

Hence, 1/8 of the total games, Shelley's team won by 10 points.

-BARSIC- [3]3 years ago
4 0

Answer:

\frac{1}{8}

Step-by-step explanation:

This problem can be resolved with a simple multiplication, but the important thing is to analyse and know why.

First of all, this problem can be seen as a probability problem with two events: Games won (<u>Event A</u>) and Games won with more than 10 points (<u>Event B</u>).

Each event have already its probability. For Event A we have \frac{3}{4}. For Event B we have \frac{1}{6}.

So, the fact that it's being asked for the expression when they won and with more than 10 points, means an interception, a mixture of both events. In order to that ''mixture'', mathematically we multiply, because we need to calculate games won and with more than 10 points.

\frac{3}{4} . \frac{1}{6} = \frac{3}{24}  = \frac{1}{8}

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