SOLUTION: im not understanding how to translate problems into equations. my first problem is: (1)Luke has $5 more then Sam (2)Together they have $73 how much money does each have? (1

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: im not understanding how to translate problems into equations. my first problem is: (1)Luke has $5 more then Sam (2)Together they have $73 how much money does each have? (1      Log On


   

Question 337427: im not understanding how to translate problems into equations.
my first problem is:
(1)Luke has $5 more then Sam
(2)Together they have $73
how much money does each have?
(1)there were 12 people on the jury
(2)there were 4 more men then women
how many men where there?
(1)lee bycycled 3km farther than wing
(2)the sum of the distances they biked was 25km
how far did each bicyclist go?
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
(1)Luke has $5 more then Sam
if sam has $x
luke = x+5
(2)Together they have $73
x+x+5 =73
2x+5=73
add -5 to both sides
2x+5-5=73-5
2x=68
divide by 2
2x/2 = 68/2
x= 34
Sam has $34
Luke has x+5
= 34+5=39
how much money does each have?
(1)there were 12 people on the jury
(2)there were 4 more men then women
how many men where there?
let women be x
men = x+4
x+x+4=12
2x+4 =12
2x=8
x=4 women
(1)lee bycycled 3km farther than wing
(2)the sum of the distances they biked was 25km
how far did each bicyclist go?
wing bikes x km
lee bikes x+3 km
x+x+3=25
2x+3 = 25-3
add -3
2x=22
divide by 2
x=11 wing
lee = 14 km