Question

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

Answer 1

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