Jose, Stef and Jess sent a total of 132 letters. Stef sent 3 times as many letters as Jess. Jess sent 7 fewer letters than Jose. How many letters did each person send?

Question

Jose, Stef and Jess sent a total of 132 letters. Stef sent 3 times as many letters as Jess. Jess sent 7 fewer letters than Jose. How many letters did each person send?

Answer 1

Jose=x

Stef=y

Jess=z

y = 3z

z=x-7 --->x=z+7

x+y+z=132

x+y+z=132

z+7 + 3z + z = 132

5z + 7 = 132

5z = 125

z = 25

x=32

y=75

z=25

Answer 2

S= 3J

J=H-7

H=J+7

H+S+J = 132

J+7 +3J + J = 132

5J = 132-7 = 125

J = 125/5 = 25 letters for Jesse

S=3J= 75 letters for Stef

H=32 letters for Jose