Question

Bob and Kevin bought a lottery ticket and won $100 000. Since they paid different amounts for the winning ticket, Bob received $10 000 more than two times what Kevin received. How much did each person receive?

Answer 1

answer: Kevin received $30,000, and Bob received $70,000.

According to the problem, Bob received $10,000 more than two times what Kevin received. So, Bob received:

2X + $10,000

We also know that the total amount won is $100,000. Therefore, we can write the equation:

X + (2X + $10,000) = $100,000

Simplifying the equation, we get:

3X + $10,000 = $100,000

3X = $90,000

X = $30,000

Therefore, Kevin received $30,000, and Bob received:

2X + $10,000 = 2($30,000) + $10,000 = $70,000

So Bob received $70,000.