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