Answer:
140 people participated in the Sudoku competition.
Step-by-step explanation:
Let x represent number of people in crossword competition.
We have been given that the Sudoku competition had twice as many participants as the Crossword competition. So number of people in Sudoku competition would be [tex]2x[/tex].
170 people competed overall, and 40 of them participated in both competitions. We can represent this information in an equation as:
[tex]x+2x-40=170[/tex]
Let us solve for x.
[tex]3x-40+40=170+40[/tex]
[tex]3x=210[/tex]
[tex]\frac{3x}{3}=\frac{210}{3}[/tex]
[tex]x=70[/tex]
Therefore, 70 people participated in the Crossword competition.
Number of people in Sudoku competition would be [tex]2x\Rightarrow2(70)=140[/tex].
Therefore, 140 people participated in the Sudoku competition.
