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Annie has 5 more books than Selina. Selina has three less than twice the number of books as Laura. Annie, Selina, and Laura have 114 books in all..

Write and solve an equation to determine how may books each person has.
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2 Answers

# books Annie = x
# books Selina = y
# books Laura = z
 
x= 5 + y
y = 2z - 3
x + y + z = 114
 
SOLVE SIMULTANEOUSLY USING SUBSTITUTION "x = 5 +y" and "y = 2z - 3"
 
2z - y=3--> 4z-2y=6
5+y+y+z=114 --> 2y+z=109
Adding the two equations,
5z+0=115
 
So, z=23
y=43
x=48
 
 
 
 
Selina has 53 books
Annie has 58 books
Laura has 28 books