SOLUTION: Evan has 2.55 more than Richard, and Jona has 4 times as much as Evans. They all have $24.15 together. How much does Jona have?

Algebra ->  Human-and-algebraic-language -> SOLUTION: Evan has 2.55 more than Richard, and Jona has 4 times as much as Evans. They all have $24.15 together. How much does Jona have?       Log On


   

Question 991897: Evan has 2.55 more than Richard, and Jona has 4 times as much as Evans. They all have $24.15 together. How much does Jona have?
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
.
J=Jona; E=Evan=(1/4)J; R=Richard=E-2.55=(1/4)J-2.55
.
J+E+R=$24.15
J+((1/4)J)+((1/4)J-2.55)=$24.15
1.5J=$26.70
J=$17.80
ANSWER: Jona has $17.80
.
CHECK
E=(1/4)J=(1/4)($17.80)=$4.45
Evan has $4.45.
.
R=E-2.55=4.45-2.55=$1.90
Richard has $1.90
.
J+E+R=$24.15
$17.80+$4.45+$1.90=$24.15
$24.15=$24.15
.