SOLUTION: Donna, John, and Bob have a total of $79 in their wallets. Bob has 2 times what John has. Donna has $9 less than John. How much does each have?

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Question 1160611: Donna, John, and Bob have a total of
$79
in their wallets. Bob has
2
times what John has. Donna has
$9
less than John. How much does each have?

Found 2 solutions by MathLover1, MathTherapy:
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
let the amount of money Donna has be x, John y, and Bob z

if they have a total of $79 in their wallets , we have
x%2By%2Bz=79.......eq.1

if Bob has 2 times what John has, then
z=2y.....eq.2
Donna has $9 less than John, then
x=y-9....eq.3

substitute x and y from eq.2 and eq.3 in eq.1

x%2By%2Bz=79.......eq.1
y-9%2By%2B2y=79.......solve for y

4y=79%2B9
4y=88
y=22
go to
z=2y.....eq.2, substitute y
z=2%2A22
z=44

go to
x=y-9....eq.3, substitute y
x=22-9
x=13

so, Donna has $13, John $22, and Bob $44 in their wallets


Answer by MathTherapy(10555) About Me  (Show Source):
You can put this solution on YOUR website!

Donna, John, and Bob have a total of
$79
in their wallets. Bob has
2
times what John has. Donna has
$9
less than John. How much does each have?
Let amount John has be J
Then Bob has: 2J, and Donna has: J - 9
We then get: J + 2J + J - 9 = 79
4J = 88
Amount John has, or highlight_green%28matrix%281%2C5%2C+J%2C+%22=%22%2C+88%2F4%2C+%22=%22%2C+%22%2422%22%29%29
Do you think you can now find Bob's and Donna's amounts?