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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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Aliya N. | Mechanical Engineer Math and Science TutorMechanical Engineer Math and Science Tut...
5.0 5.0 (6 lesson ratings) (6)
0
# 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
 
 
 
 
Morris W. | Patient, Well-Educated Tutor Covering a Broad Range of Science AreasPatient, Well-Educated Tutor Covering a ...
1.0 1.0 (1 lesson ratings) (1)
-1
Selina has 53 books
Annie has 58 books
Laura has 28 books