Answer:
$102
Step-by-step explanation:
We need to build a system of equations for this question.
I am going to call x the value Lawson will pay to Expert Card, y the value he will pay to passport and z the value he will pay to US Speedy.
He will pay $612 in all, so x+y+z = 612.
He will pay 5 times as much to Expert Card as US Speedy, so x = 5z.
The passport payment will be only 20% of the total of the other two payments. So y = 0.2(x+z).
Now we have the following system of equations:
1)x+y+z = 612
2)x = 5z
3)y = 0.2(x+z)
And we need to find y.
I will put 2) and 3) at 1). We end up with:
5z + 0.2(5z+z)+z = 612
5z + 1.2z + z = 612
7.2z = 612
z = $85
Knowing z, now we can find y at 3)
y = 0.2(x+z)
y = 0.2(5z+z)
y = 1.2z
y = 1.2(85)
y = $102
Lawson will pay $102 towards the passport credit balance.
