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# A storage trunk contains 6 identical blankets and 3 identical pillows.

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Math Expert
Joined: 02 Sep 2009
Posts: 59588
A storage trunk contains 6 identical blankets and 3 identical pillows.  [#permalink]

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18 Oct 2019, 02:57
00:00

Difficulty:

25% (medium)

Question Stats:

76% (01:00) correct 24% (01:07) wrong based on 25 sessions

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A storage trunk contains 6 identical blankets and 3 identical pillows. The weight of each blanket is 3 times the weight of each pillow. What is the ratio of the total weight of the 6 blankets to the total weight of the 3 pillows?

A. 2 to 1
B. 3 to 1
C. 6 to 1
D. 9 to 1
E. 18 to 1

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Re: A storage trunk contains 6 identical blankets and 3 identical pillows.  [#permalink]

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18 Oct 2019, 04:02
Bunuel wrote:
A storage trunk contains 6 identical blankets and 3 identical pillows. The weight of each blanket is 3 times the weight of each pillow. What is the ratio of the total weight of the 6 blankets to the total weight of the 3 pillows?

A. 2 to 1
B. 3 to 1
C. 6 to 1
D. 9 to 1
E. 18 to 1

Let the weight of each blanket = b and weight of each pillow = p

The weight of each blanket is 3 times the weight of each pillow.
—> b = 3p

Weight of 6 blankets = 6b = 6*3p = 18p
Weight of 3 pillows = 3p

Ratio = 18p/3p = 6/1

IMO Option C

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Re: A storage trunk contains 6 identical blankets and 3 identical pillows.  [#permalink]

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22 Oct 2019, 22:25

Solution

Given:
• A storage trunk contains 6 identical blankets and 3 identical pillows
• The weight of each blanket is 3 times the weight of each pillow

To find:
• The ratio of the total weight of the 6 blankets to the total weight of the 3 pillows

Approach and Working Out:
• Let us assume that the weight of each pillow = w
o Implies, the weight of each blanket = 3w

• Therefore, the ratio of the total weight of the 6 blankets to the total weight of the 3 pillows = $$\frac{6*3w}{3w}$$ = 6 : 1

Hence, the correct answer is Option C.

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Re: A storage trunk contains 6 identical blankets and 3 identical pillows.   [#permalink] 22 Oct 2019, 22:25
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