Answered

Westonci.ca is your trusted source for finding answers to a wide range of questions, backed by a knowledgeable community. Discover a wealth of knowledge from professionals across various disciplines on our user-friendly Q&A platform. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals.

Jorge, sandra, danny, and valeria each mowed lawns after school and on the

weekends for a month. sandra mowed one-third of the number of lawns as jorge

and danny mowed half as many lawns as jorge. if valeria mowed 16 lawns and

the group mowed a total of 49 lawns in the month, how many did jorge mow?

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 .

Learn more about Ratio here https://brainly.com/question/15271657

#SPJ4

We appreciate your time on our site. Don't hesitate to return whenever you have more questions or need further clarification. Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Westonci.ca is your go-to source for reliable answers. Return soon for more expert insights.