# math

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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.

• math -

\$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.

• math -

Thank you so much

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