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maddylucas
04.02.2020 •
Mathematics
Aboy purchased a sandwich 52 inches long he wants to cut into three pieces so that the middle piece is 5 inches longer than the shortest piece and the shortest piece is 8 inches shorter than the longest piece how long should all three pieces be
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Ответ:
x,y,z
longest to shortest
y is 5 more than z
y=5+z
z is 8 less than x
z=x-8
find everything in terms of x
y=5+z
sub z=x-8
y=5+x-8
y=x-3
so we got
x=x
y=x-3
z=x-8
total length is 52
x+y+z=52
x+x-3+x-8=52
x+x+x-3-8=52
3x-11=52
add 11 to both sides
3x+11-11=52+11
3x=63
divide both sides by 3
x=21
y=x-3=21-3=18
z=x-8=21-8=13
the pieces are 13in, 18in, 21in
Ответ:
30
Step-by-step explanation: