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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.

Respuesta :

ridxee

Answer:

Dave worked 60 hours.

Step-by-step explanation:

Let's assume that Dave worked a total of [tex]x[/tex] hours.

Since Kate worked 5 hours less than Dave: [tex]x-5[/tex]

And Sarah worked 10 more hours than Dave: [tex]x+10[/tex]

Combined, the three siblings worked 185 hours.

[tex](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[/tex]

Dave worked 60 hours,

Kate worked 55 hours and Sarah worked 70 hours.

To check:

55 + 60 + 70 = 185 hours

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