SOLUTION: Martina, Eric, and Jose have a total of $77 in their wallets. Eric has $9 less than Martina. Jose has 2 times what Eric has. How much do they have in their

Algebra ->  Customizable Word Problem Solvers  -> Coins -> SOLUTION: Martina, Eric, and Jose have a total of $77 in their wallets. Eric has $9 less than Martina. Jose has 2 times what Eric has. How much do they have in their       Log On

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Question 976395: Martina, Eric, and Jose have a total of

$77
in their wallets. Eric has

$9
less than Martina. Jose has

2
times what Eric has. How much do they have in their wallets?

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

Martina has x,
Eric has y, and
Jose has z
they have a total of $x%2By%2Bz=77 in their wallets
Eric has $9 less than Martina: $y=x-9
Jose has 2 times what Eric has:$z=2y=2%28x-9%29
How much do they have in their wallets?
$x%2By%2Bz=77.... substitute y and z
$x%2B%28x-9%29%2B2%28x-9%29=77.....solve for x
$x%2Bx-9%2B2x-18=77
$4x-27=77
$4x=77%2B27
$4x=104
$x=104%2F4
$x=26
now find y
$y=x-9
$y=26-9
$y=17
and z
$z=2y
$z=2%2A17
$z=34
so, Martina has $26, Eric has $17, and Jose has $34