# Because he’s taxed by his home planet, Mork pays a tax rate of 45% on his income, while Mindy pays...

Because he’s taxed by his home planet, Mork pays a tax rate of 45% on his income, while Mindy pays a rate of only 20% on hers. If Mindy earned 4 times as much as Mork did, what was their combined tax rate?

## Quiz

25%

### Steps/Work

Let x be Mork's income, then Mindy's income is 4x.
The total tax paid is 0.45x + 0.8x = 1.25x
1.25x / 5x = 0.25

## Gain Calculator / Auto Solver

Because he ’ s taxed by his home planet, mork pays a tax rate of % on his income, while mindy pays a rate of only % on hers. If mindy earned times as much as mork did, what was their combined tax rate?

25

### Step by Step Solution

In order to solve problem, you must evaluate (n0 / 100 + n2 * n1 / 100) / (n2 + 1) * 100.

 n0 = 45 20 4
• (n0 / 100 + n2 * n1 / 100) / (n2 + 1) * 100
• Evaluate n0 / 100 = 0.45

(0.45 + n2 * n1 / 100) / (n2 + 1) * 100
• Evaluate n1 / 100 = 0.2

(0.45 + n2 * 0.2) / (n2 + 1) * 100
• Evaluate n2 * 0.2 = 0.8

(0.45 + 0.8) / (n2 + 1) * 100
• Evaluate 0.45 + 0.8 = 1.25

1.25 / (n2 + 1) * 100
• Evaluate n2 + 1 = 5

1.25 / 5 * 100
• Evaluate 1.25 / 5 = 0.25

0.25 * 100
• Evaluate 0.25 * 100 = 25

25
• The answer to the problem and the result of (n0 / 100 + n2 * n1 / 100) / (n2 + 1) * 100 is 25