Mr. Harris went to the stores to buy school supplies for his children. He spent half of his money plus $5 at Gymboree. He then spent half of the remaining money plus $10 at Target. At the end he had $25 left. How much money did Mr. Wood start with?
I dont know that is why i asked you
Gymboree: x/2 + 5, leaving x/2 - 5
Target: (x/2 - 5)/2 + 10, leaving (x-50)/4
(x-50)/4 = 25
x=150
check: 150-80-45 = 25
To find out how much money Mr. Harris started with, we can work backwards from the information given. Let's break it down step by step:
1. Mr. Harris spent half of his money plus $5 at Gymboree. Let's call his initial amount of money X. This means he spent (1/2)*X + $5 at Gymboree.
So, after shopping at Gymboree, he had X - [(1/2)*X + $5] = (1/2)*X - $5 left.
2. Mr. Harris then spent half of the remaining money plus $10 at Target. Let's call his remaining money Y. This means he spent (1/2)*Y + $10 at Target.
So, after shopping at Target, he had Y - [(1/2)*Y + $10] = (1/2)*Y - $10 left.
3. We are given that Mr. Harris had $25 left at the end, so we can set up the equation (1/2)*Y - $10 = $25.
To find the value of Y, we can solve the equation:
(1/2)*Y - $10 = $25
(1/2)*Y = $25 + $10
(1/2)*Y = $35
Now, multiplying both sides of the equation by 2 gives us:
Y = 2 * $35
Y = $70
Finally, to find the initial amount Mr. Harris started with, we go back to step 1:
(1/2)*X - $5 = Y
(1/2)*X - $5 = $70
Now, let's solve for X:
(1/2)*X = $70 + $5
(1/2)*X = $75
Multiplying both sides of the equation by 2 gives us:
X = 2 * $75
X = $150
Therefore, Mr. Harris started with $150.