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Three siblings- Kate, Sarah, and Dave comitted themselves to volunteer 160 hours for a homeless charity to build new housing. Dave worked 15 hours more than Kate. Sarah worked 20 hours fewer than Kate. How many hours did each of these siblings volunteer?

Respuesta :

Answer:

Kate 55 hours

Dave 70 hours

Sarah 35 hours

Step-by-step explanation:

Let k be Kate's hours

Dave = 15 + k

Sarah = k- 20

Dave + Kate + Sarah = 160

15 + k + k + k - 20 = 160

3k - 5 = 160

3k = 165

k = 55

Kate worked 55 hours

Dave worked 70 hours

Sarah worked 35 hours

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