Please help. I’ll mark you as brainliest if correct! Three siblings−Dave, Kate, and Sarah−committed themselves to volunteer 185

Question

Please help. I’ll mark you as brainliest if correct!

Three siblings−Dave, Kate, and Sarah−committed themselves to volunteer 185 hours for a homeless charity to build new housing. Sarah worked 10 hours more than Dave. Kate worked 5 hours fewer than Dave. How many hours did each of these siblings volunteer?

Number of hours Dave worked=_____ hours.

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Eliza 1 month 2021-10-15T02:38:21+00:00 1 Answer 0 views 0

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    2021-10-15T02:39:22+00:00

    Answer:

    Dave worked 60 hours.

    Step-by-step explanation:

    Let’s assume that Dave worked a total of x hours.

    Since Kate worked 5 hours less than Dave: x-5

    And Sarah worked 10 more hours than Dave: x+10

    Combined, the three siblings worked 185 hours.

    (x)+(x+10)+(x-5) = 185\\x+x+10+x-5 = 185\\3x + 5 =185\\3x = 185 - 5\\3x = 180\\x = 180 \div 3\\x = 60

    Dave worked 60 hours,

    Kate worked 55 hours and Sarah worked 70 hours.

    To check:

    55 + 60 + 70 = 185 hours

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45:7+7-4:2-5:5*4+35:2 =? ( )