Question

Johnny makes $850 a week. He pays $100 for his insurance and then he gets taxed 8% on the rest of his earnings. What fraction of his paycheck has been spent before he receives it?

Answer 1

Approximately 0.188 or 18.8%

Explanation:

Let’s break it down:

Johnny’s weekly earnings: $850

Insurance cost: $100

After paying for insurance, Johnny has $850 - $100 = $750 left.

Then, he gets taxed 8% on the remaining $750. The tax amount is 8/100 * $750 = $60.

So, the total amount spent before he receives his paycheck is $100 (insurance) + $60 (tax) = $160.

Now, to find out what fraction of his paycheck is spent before he receives it, we divide the total amount spent by his total earnings:

850160​≈0.188

So, approximately 0.188 or 18.8% of Johnny’s paycheck is spent before he receives it. This can also be represented as the fraction 188/1000 when simplified.

Answer 2

18.82%

Explanation:

To determine the fraction of Johnny's paycheck that has been spent before he receives it, we'll need to calculate the total deductions from his earnings.

Johnny's earnings per week: $850

Insurance payment: $100

Percentage of tax: 8%

First, let's calculate the tax deduction:

Tax deduction = (8/100) x (Earnings - Insurance)

Tax deduction = (8/100) x ($850 - $100)

Tax deduction = (8/100) x $750

Tax deduction = $60

Next, we'll calculate the total deductions:

Total deductions = Insurance + Tax deduction

Total deductions = $100 + $60

Total deductions = $160

To find the fraction of his paycheck spent before he receives it, we'll divide the total deductions by his earnings:

Fraction spent = Total deductions / Earnings

Fraction spent = $160 / $850

Fraction spent ≈ 0.1882

So, approximately 0.1882, or about 18.82% of Johnny's paycheck, has been spent before he receives it.