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Usimov [2.4K]
2 years ago
13

Darcy ordered 18 boxes of red balloons and 12 boxes of blue balloons for a party.She ordered a total of 240 balloons. How many b

alloons are in each box?
Mathematics
1 answer:
olga2289 [7]2 years ago
8 0
Answer: 8 balloons per box
8x18 + 8x12 = 144+96 = 240
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Bobby knows that the perimeter of the original rectangle is 120 meters. He also knows that the perimeter of the reduced rectangl
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Answer:

<u>24 meters</u> is the width of the original rectangle.

Step-by-step explanation:

Given:

Bobby knows that the perimeter of the original rectangle is 120 meters. He also knows that the perimeter of the reduced rectangle is 30 meters and the reduced rectangle has a length of 9 meters.

Now, to get the width of original rectangle.

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The reduced rectangle's length = 9 meters.

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<em>Subtracting both sides by 18 we get:</em>

<em />12=2x<em />

<em>Dividing both sides by 2 we get:</em>

6=x\\\\x=6\ meters.

The width of reduced rectangle = 6 meters.

Now, to get the width of original rectangle:

Let the width of original rectangle be w.

<em>As given, the perimeter of the original rectangle = 120 meters.</em>

<em>And, the perimeter of reduced rectangle is 30 meters and its width is 6 meters.</em>

<em>So, 30 is equivalent to 6.</em>

<em>Thus, 120 is equivalent to </em>w.<em />

Now, to get the width using cross multiplication method:

\frac{30}{6}=\frac{120}{w}

<em>By cross multiplying we get:</em>

<em />30w=720<em />

<em>Dividing both sides by 30 we get:</em>

<em />w=24\ meters.<em />

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Therefore, 24 meters is the width of the original rectangle.

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Step-by-step explanation:

Great question, it is always good to ask away and get rid of any doubts that you may be having.

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