Tricky maths question
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Tricky maths question
Can anyone help solve the below maths question:
On a Monday morning, a teacher asked a class of 25 boys whether they had taken a bath or shower during the weekend. Eighteen boys had a shower, 10 had a bath and 3 had neither and were very dirty. How many boys had taken both a bath and a shower.
Thanks
On a Monday morning, a teacher asked a class of 25 boys whether they had taken a bath or shower during the weekend. Eighteen boys had a shower, 10 had a bath and 3 had neither and were very dirty. How many boys had taken both a bath and a shower.
Thanks
25 in the class - first subtract those who had neither, 25 - 3 = 22
Some boys have been counted twice [ie had both a shower and a bath]
18 + 10 = 28 but there are only 22 boys that we are talking about.
So 28 - 22 = 6 so 6 have been counted twice and had both a bath and a shower.
[Rather a silly question as who can imagine any 11 year old boy wanting BOTH!!! ]
These are usually best done using a Venn diagram but I cannot draw one on here ...
Some boys have been counted twice [ie had both a shower and a bath]
18 + 10 = 28 but there are only 22 boys that we are talking about.
So 28 - 22 = 6 so 6 have been counted twice and had both a bath and a shower.
[Rather a silly question as who can imagine any 11 year old boy wanting BOTH!!! ]
These are usually best done using a Venn diagram but I cannot draw one on here ...