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# Luke and Dan's total debt is $72. If Luke's debt is three times Dan's debt, what is Dan's debt?

##### Administrator

**Staff member**

Luke and Dan's total debt is $72. If Luke's debt is three times Dan's debt, what is Dan's debt?

Let Dan's debt be d.

Let Luke's debt be l.

We're given two equations:

- d + l = 72
- l = 3d

Substitute equation (2) for l into equation (1):

d + 3d = 72

Solve for

*d* in the equation d + 3d = 72

**Step 1: Group the d terms on the left hand side:**
(1 + 3)d = 4d

**Step 2: Form modified equation**
4d = + 72

**Step 3: Divide each side of the equation by 4**
4d/4 = 72/4

d =

**18**