Rachel has $12 in wallet
Shen has $17 in wallet
Pablo has $ 34 in wallet
Solution:
Let "r" be the amount in Rachel wallet
Let "s" be the amount in Shen wallet
Let "p" be the amount in Pablo wallet
Given that Rachel and Shen and Pablo have a total of $ 63 in their wallets
We can frame a equation as:
amount in Rachel wallet + amount in Shen wallet + amount in Pablo wallet = $63
r + s + p = 63 ----- eqn 1
Shen has $5 more than Rachel
amount in Shen wallet = 5 + amount in Rachel wallet
s = 5 + r ----- eqn 2
Pablo has 2 times what Shen has
Amount in Pablo wallet = 2 x amount in Shen wallet
p = 2s ---- eqn 3
Let us solve eqn 1 and eqn 2 and eqn 3 to find values of "s" "r" and "p"
From eqn 2,
r = s - 5 ----- eqn 4
Substitute eqn 4, eqn 3 in eqn 1
s - 5 + s + 2s = 63
4s - 5 = 63
4s = 68
s = 17
Substitute s = 17 in eqn 4
r = s - 5 = 17 - 5 = 12
r = 12
Substitute s = 17 in eqn 3
p = 2(17) = 34
p = 34
Thus we have:
Rachel has $12 in wallet
Shen has $17 in wallet
Pablo has $ 34 in wallet