Wednesday, 4 May 2016

Problem of the week

What I know

Willy Makit participates at a local level of a decathlon where he has to complete 10 events

the maximum possible score in a event is 10 points

to advance you must earn a minimum score of 75 points

on first five events Willy had a average of 6.8

the next three his average score was 7.2

What must Willy average on his last two to have a exact score of 75 points

Solution

Wily averaged 6.8 on his first five events so 6.8 x 5 = 34
Willy then averaged 7.2 points on his next 3 events  7.2 x 3 = 21.6
There was 10 events and Willy completed 8 so he had 2 events left
34 + 21.6 = 55.6 After 8 events he had a score of 55.6
75 - 55.6 = 19.4
19.4 divided by 2 = 9.7
Willy Makit needs to 9.7 on his last two events to have a exact score of 75

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