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Math help please

Three friends have a total of 100. Mike has 4 times what Dave has and Linda has 10 less than Dave. What does each friend have?

Please show work as I got this question wrong on an exam and i would like to know how to work it out.

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Rebecca R. | Experienced Elementary School Math and Algebra 1 TutorExperienced Elementary School Math and A...
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Hi, Becca! (Love your name!)
 
Ok, So let's say Dave has X amount. I used X for Dave because his friends' amounts are given in terms of how much he has.
 
X = Dave
4X = Mike
X - 10 = Linda
 
Now, we just add them up 
X + 4X + (X - 10) = 100
6X -10 = 100
6X = 110
Dave = X = 18 1/3
Mike = 4X  = 73 1/3
Linda = X-10 = 8 1/3