Question

9.Lawson will pay $612 to three different credit cards: Expert Card, Passport, and US Speedy. He will pay five times as much to Expert Card as US

Speedy since it has a higher balance. He also expects the Passport payment to be only 20% of the total of the other two payments. How much will
Lawson pay towards the Passport credit card balance? (2 points)
$85.00
$122.40
$102.00
$425.00

Answer 1

$102

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.