There are 28 workers repairing a road. 9 use machinery. 15 do not use shovels and 7 do not use either machinery or shovels. how many workers use both machinery and shovels?
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Okay so, explaining with a venn diagram would be much easier.
M = machinery
NS = no shovels
1) 7 do not use either machinery meaning 28-7 leaving us with 21
2) 15 do not use shovels where as 9 use machinery therefore 15-9 leaving us with 12 as we want "NS" only
3)Now that leaves us with 15 don't use shovels so 15-7 leaving us with 8 meaning that only 1 person uses both machinery and shovels as 9 use machinery making it 9-8
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