Question

I’m game shows 30% is taken from your prize earnings. How much would a game show give you in order to equal 1 hundred thousand, after taxes?

I already have the equation worked out-
100,000= Y- (30%xY)

You gotta find Y

Answer 1

$142,857.14

Explanation:

As per the question,

• Y = prize money
• $100,000 is the money you get
• 30% is deducted from Y

Solving for Y

• Convert 30% to decimal form
• Divide 30% by 100%
• 30%/100% = 0.3
• Now, solve the equation.
• 100,000 = Y - 0.3Y
• 100,000 = 0.7Y
• 100,000 = 7Y/10
• Y = 1,000,000/7
• Y = $142,857.14