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Sagot :
Jorge mowed 18 lawns.
Let the number of lawns mowed by Jorge =x
So according to the question
Number of lawns mowed by sandra = x/3
Number of lawns mowed by Danny =x/2
Number of lawns mowed by Valeria =16
sum of total lawns mowed = lawns mowed by Jorge + lawns mowed by sandra + lawns mowed by Danny + lawns mowed by Valeria.
[tex]x+\frac{x}{3} +\frac{x}{2} +16=49[/tex]
taking LCM as 6 and solving further we get
[tex]\frac{6x+2x+3x+96}{6} =49[/tex]
By cross Multiplying we get
11x+96=294
11x=198
Solving further for x,
x=198/11
x=18
Therefore, the number of lawns mowed by Jorge is 18 .
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