Question

Three siblings sarah, Dave, and Kate - committed themselves to volunteer 150 hours for a homeless charity to build new housing. Sarah worked 5 hours more than Dave. Kate worked 20 hours fewer than Dave. How many hours did each of these siblings volunteer?

Answer 1

Dave volunteered for 55 hours, Sarah for 60 hours, and Kate for 35 hours, for a total of 150 volunteer hours for a homeless charity.

Step-by-step explanation:

The problem involves three siblings, Sarah, Dave, and Kate, who volunteered a total of 150 hours. We need to find out how many hours each sibling volunteered. Let's define the number of hours Dave worked as D. Then, Sarah worked D + 5 hours, and Kate worked D - 20 hours. Adding all their hours together gives us the total of 150 hours they committed to:

D + (D + 5) + (D - 20) = 150

Simplifying the equation:

3D - 15 = 150

Add 15 to both sides:

3D = 165

Divide both sides by 3:

D = 55

Now that we know that Dave worked 55 hours, we can find the hours for Sarah and Kate:

Sarah: 55 + 5 = 60 hours

Kate: 55 - 20 = 35 hours