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The usage of sugar of a family of 3 adults and 2 children was 13 kg in

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Joined: 04 Jan 2015
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The usage of sugar of a family of 3 adults and 2 children was 13 kg in  [#permalink]

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26 Jul 2018, 00:35
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35% (medium)

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68% (01:24) correct 32% (01:49) wrong based on 116 sessions

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The usage of sugar of a family of 3 adults and 2 children was 13 kg in a certain month. If the monthly average usage of sugar for an adult is 3 kg and for a child is 1 kg, by what percent the specific month’s sugar consumption was more or less than the typical usage?

A. 22.22% more
B. 18.18% more
C. 15.38% more
D. 15.38% less
E. 18.18% less

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Re: The usage of sugar of a family of 3 adults and 2 children was 13 kg in  [#permalink]

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26 Jul 2018, 02:15
monthly average usage of sugar for an adult is 3 kg

monthly average usage of sugar for a child is 1 kg

monthly average usage of sugar for a family of 3 adults and 2 children = 3 * 3 + 2 * 1 = 9 + 2 = 11

Actual usage of sugar of a family of 3 adults and 2 children was 13 kg

percent of specific month’s sugar consumption over the typical usage = $$\frac{difference}{original} * 100$$

=> $$\frac{13-11}{11} * 100$$ = $$\frac{2}{11} * 100$$

= 18.18% more more than average monthly consumption because specify month consumption > average monthly consumption.

Hence option B
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Re: The usage of sugar of a family of 3 adults and 2 children was 13 kg in  [#permalink]

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30 Jul 2018, 05:50

Solution

Given:
• The monthly average usage of sugar for an adult is 3 kg and for a child is 1 kg
• The usage of sugar of a family of 3 adults and 2 children was 13 kg in a certain month

To find:
• By what percent the specific month’s sugar consumption was more or less than the typical usage

Approach and Working:
As per the typical usage,
• Total usage of 3 adults in a month = 3 * 3 = 9 kg
• Total usage of 2 children in a month = 2 * 1 = 2 kg
• So, total usage of all = 9 + 2 = 11 kg

In the specified month, total usage is 13 kg.

As 13 > 11, we can say the usage is more than typical usage.
• Percentage more in terms of usage = $$\frac{13 – 11}{11}$$ * 100 = 18.18%

Hence, the correct answer is option B.

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Re: The usage of sugar of a family of 3 adults and 2 children was 13 kg in  [#permalink]

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27 Sep 2018, 20:15
Hi All,

We're told that the usage of sugar of a family of 3 adults and 2 children was 13 kg in a certain month and the monthly AVERAGE usage of sugar for an adult is 3 kg and for a child is 1 kg. We're asked by what percent THIS specific month’s sugar consumption was more or less than the typical usage. The wording of this question is a little 'clunky', but the intent is to test us on the Percentage Change Formula:

Percent Change = (New - Old)/(Old) = Difference/Original

With 3 adults and 2 children, the AVERAGE monthly usage would give us a total of (3)(3) + (2)(1) = 11 kg of sugar.
This month, the total is 13 kg though, which is clearly an INCREASE.
The percent change is (13 - 11)/11 = 2/11 = a little more than 18%

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Re: The usage of sugar of a family of 3 adults and 2 children was 13 kg in   [#permalink] 27 Sep 2018, 20:15
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