Problema Solution
Giselle, Sara and Sue Me were in a read a thon. Giselles team was the winner. Sara read 3 more than half of the books that gisells team read. Sue Me read 3 less than half of the books that Saras team read. The grand total of the books was 96. How many books did each team read?
Answer provided by our tutors
x, giselle
y, sara
z, sue
x = x
y = (x/2) + 3
z = (y/2) - 3 = {[(x/2) + 3]/2} - 3
96 = x + (x/2) + 3 + {[(x/2) + 3]/2} - 3
[96 = x + (x/2) + {[(x/2) + 3]/2}] (2)
192 = 2x + x + (x/2) + 3
192 - 3 = 3x + x/2
(189 = 3x + x/2) (2)
378 = 6x + x
7x/7 = 378/7
x = 54
x = 54
y = 54/2 + 3 = 30
z = 30/2 - 3 = 12