Robert’s surpise Birthday party Puzzle
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David is throwing Robert a surprise birthday party but he has to stay within his budget. He spent half of his money plus $2.00 on the cake. Half of what he had left plus $2.00 was spent on balloons and streamers. Then he spent half of what he had left plus $1.00 on candy.
Now he is out of money, how much did he start with? 
Best answer
Answer is 20.
Explanation:
Let’s say he has x dollars with him.
1. On cake, he spends its half plus 2, so he is left with: x-(x/2+2) = x/2-2
2. On balloons and streamers, he spends half of the left plus 2
Left: (x/2-2) -(x/4-1+2)= x/4 -3.
3. On candy, half the left plus 1
Left: (x/4-3) -(x/8-3/2+1)= 0
Solving, x=20.
Your Answer
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