Question

Megan worked 11 hours more than Juan last month. If Megan worked 4 hours for every 3 hours that Juan worked, how
many hours did they each work?

Answer 1

Megan worked for 44 hours and Juan worked for 33 hours.

Step-by-step explanation:

Given,

Ratio of Megan's working hours to Juan = 4:3

Let x be the number of hours Juan worked.

As Megan worked 11 hours more, therefore,

Megan's working hours = x+11

Using proportions;

Ratio of Megan's working hours to Juan :: Total working hours of Megan to Juan

$4:3::x+11:x$

Product of mean = Product of extreme

$3*(x+11)=4*x\\3x+33=4x\\33=4x-3x\\33=x\\x=33$

Megan's working hours = x+11 = 33+11 = 44 hours

Megan worked for 44 hours and Juan worked for 33 hours.

Keywords: Ratio, Proportion

Learn more about ratios at:

• brainly.com/question/5059091
• brainly.com/question/5069437

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