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Ms. Banacka went to the store to purchase supplies for her annual Wild Water War. She purchased a

total of 25 items at the stores. Each package of water balloons costs $3.25 and each water gun costs
$4.50, where she spent a total of $95. How many packages of water balloons did Ms. Banacka
purchase?
a. 11 packages of water balloons
b. 14 packages of water balloons
C. 16 packages of water balloons
d. 20 packages of water balloons

User C Mars
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Ms. Banacka purchased a total of 25 items and spent $95.

Since each package of water balloons costs $3.25 and each water gun cost $4.50, we can calculate the total cost of the water balloons and water guns together.

Total cost of water balloons = 3.25 x number of packages of water balloons purchased

Total cost of water guns = 4.50 x number of water guns purchased

Total cost of all items = number of packages of water balloons x 3.25 + number of water guns x 4.50

Since the total cost of all items is $95 and the total cost of the water balloons is 3.25 x number of packages of water balloons purchased, we can set up the following equation:

3.25 x number of packages of water balloons purchased + number of water guns x 4.50 = 95

To solve this equation, we can first calculate the total cost of the water guns by subtracting the total cost of all items ($95) from the total cost of the water balloons (3.25 x number of packages of water balloons purchased):

number of water guns x 4.50 = 95 - 3.25 x number of packages of water balloons purchased

Now we can solve for number of water guns:

number of water guns = (95 - 3.25 x number of packages of water balloons purchased) / 4.50

We know that the total number of items purchased is 25, so the number of water guns must be equal to 25 minus the number of packages of water balloons purchased:

number of water guns = 25 - number of packages of water balloons purchased

Substituting this expression for number of water guns in our original equation gives us

3.25 x number of packages of water balloons purchased + (25 - number of packages of water balloons purchased) x 4.50 = 95

Now we can solve for number of packages of water balloons purchased:

number of packages of water balloons purchased = (95 - 25 x 4.50) / (3.25 - 4.50)

Simplifying, we get

number of packages of water balloons purchased = 16

Therefore, Ms. Banacka purchased 16 packages of water balloons.

User Tinwor
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