Mr. Wood went to the stores to buy school supplies for his children. He spent half of his money plus $5 at Store A. He then spent half of his remaining money plus $10 at Store B. At the end he had $25 left. How much money did Mr. Wood start with?
150
10
To find out how much money Mr. Wood started with, let's break down the problem into steps and solve it systematically.
Step 1: Mr. Wood spent half of his money plus $5 at Store A.
Let's say Mr. Wood's initial amount of money is represented by x. After spending half of his money plus $5 at Store A, he is left with x/2 - $5.
Step 2: Mr. Wood spent half of his remaining money plus $10 at Store B.
After spending at Store A, Mr. Wood had x/2 - $5 left. He spent half of this remaining money plus $10 at Store B, which means he spent (x/2 - $5)/2 + $10.
Step 3: At the end, Mr. Wood had $25 left.
After spending at Store B, Mr. Wood had $25 left. This means the amount of money he had after Step 2 is equal to $25.
Now, let's set up an equation to solve for x (the initial amount of money Mr. Wood started with):
(x/2 - $5)/2 + $10 = $25
Let's simplify the equation:
(x/2 - $5)/2 = $25 - $10
(x/2 - $5)/2 = $15
(x/2 - $5) = $15 * 2
(x/2 - $5) = $30
Now, let's solve for x:
x/2 = $30 + $5
x/2 = $35
x = $35 * 2
x = $70
Therefore, Mr. Wood started with $70.