PUC raised money for the recent disaster victims. they decided to allocate the money in this manner:
1/2 of the money raised goes to medical supplies
1/4 of what was left bought tents
2/3 of the remaining money went to water purification systems
the rest of the money was spent on shipping.
a. if $400 was spent on water purification systems, how much was allocated to each of these other categories:
medical
tents
shipping
b. what was the total amount collected.
please help me i have no clue as to what i am suppose to do
$X = Amt. raised.
X/2 = Amt spent for meds.
Bal = $X/2.
1/4 * X/2 = X/8 spent for tents.
Bal = X/2 - X/8 = 4x/8 - X/8 = 3X/8.
2/3 * 3X/8 = 6X/24 = X/4 Spent for water
purification.
Bal = 3X/8 - X/4 = 3X/8 - 2X/8 = X/8.
X/8 Spent for shipping.
Bal = X/8 - X/8 = $0.
a. X/4 = $400.
X = $1600 = Amt. raised.
X/2 = 1600/2 = $800 For Meds.
X/8 = 1600/8 = $200 ForTents.
X/8 = 1600/8 = $200 For Shipping.
b. X/4 = $400.
X = $1600 Raised.
Thank you so much
To solve this problem, we need to work backwards starting with the amount spent on water purification systems.
a. Amount allocated to other categories:
1. Since 2/3 of the remaining money went to water purification systems, we know that $400 represents 2/3 of the remaining money.
Let's call the total remaining money after buying tents "X".
So, 2/3 of X is equal to $400.
Therefore, (2/3)*X = $400.
2. To find the value of X, you can rearrange the equation:
X = ($400 * 3) / 2
X = $600
3. Now, let's calculate the amount allocated to each category:
First, calculate the amount allocated to medical supplies:
1/2 of the total money raised goes to medical supplies.
Therefore, ($600)*(1/2) = $300
Next, calculate the amount spent on tents:
1/4 of what was left after medical supplies was spent on tents.
So, ($600 - $300) * (1/4) = $75
Finally, the remaining money is spent on shipping:
($600 - $300 - $75) = $225
Therefore, the amount allocated to each category is as follows:
- Medical supplies: $300
- Tents: $75
- Shipping: $225
b. To find the total amount collected, you need more information. If you have any additional data, please provide it, and I can assist you further.