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

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New post 26 Jul 2018, 00:35
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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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New post 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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New post 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.

Answer: 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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New post 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 &nbs [#permalink] 27 Sep 2018, 20:15
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