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In the Johnsons' monthly budget, the dollar amounts allocate

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In the Johnsons' monthly budget, the dollar amounts allocate  [#permalink]

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New post 07 Dec 2012, 03:14
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In the Johnsons' monthly budget, the dollar amounts allocated to household expenses, food, and miscellaneous items are in the ratio 5:2:1, respectively. If the total amount allocated to these three categories is $1,800, what is the amount allocated to food?

(A) $900
(B) $720
(C) $675
(D) $450
(E) $225
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Re: In the Johnsons' monthly budget, the dollar amounts allocate  [#permalink]

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New post 07 Dec 2012, 03:17
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Walkabout wrote:
In the Johnsons' monthly budget, the dollar amounts allocated to household expenses, food, and miscellaneous items are in the ratio 5:2:1, respectively. If the total amount allocated to these three categories is $1,800, what is the amount allocated to food?

(A) $900
(B) $720
(C) $675
(D) $450
(E) $225


Given that the amounts allocated to household expenses (E), food (F), and miscellaneous items (M) are in the ratio 5x:2x:1x and the total amount allocated to these three categories is $1,800, thus 5x+2x+x=1,800 --> x=225 --> F=2x=$450.

Answer: D.
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Re: In the Johnsons' monthly budget, the dollar amounts allocate  [#permalink]

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New post 13 Jun 2013, 02:32
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Given that the amounts allocated to household expenses (E), food (F), and miscellaneous items (M) are in the ratio 5x:2x:1x and the total amount allocated to these three categories is $1,800, thus 5x+2x+x=1,800
8x = 1800; we require value of 2x = 1800/4 = 450 Answer = D
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Re: In the Johnsons' monthly budget, the dollar amounts allocate  [#permalink]

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New post 02 Jul 2013, 20:34
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Total of 3 components is 8 parts
Food is 2 parts
Amount on Food is 2/8 i.e 1/4 of the total i.e 1800/4 = 450.

Answer D
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Re: In the Johnsons' monthly budget, the dollar amounts allocate  [#permalink]

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New post 11 Sep 2014, 06:21
Walkabout wrote:
In the Johnsons' monthly budget, the dollar amounts allocated to household expenses, food, and miscellaneous items are in the ratio 5:2:1, respectively. If the total amount allocated to these three categories is $1,800, what is the amount allocated to food?

(A) $900
(B) $720
(C) $675
(D) $450
(E) $225



5x:2x:x

total 8x = 1800

x= 225

for food 2x so 2(225) = 450
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Re: In the Johnsons' monthly budget, the dollar amounts allocate  [#permalink]

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New post 01 Jun 2016, 07:43
Walkabout wrote:
In the Johnsons' monthly budget, the dollar amounts allocated to household expenses, food, and miscellaneous items are in the ratio 5:2:1, respectively. If the total amount allocated to these three categories is $1,800, what is the amount allocated to food?

(A) $900
(B) $720
(C) $675
(D) $450
(E) $225


To solve this question, it will be best to first express the given ratio using variable multipliers. Thus, we have:

Household Expenses : Food : Miscellaneous = 5x : 2x : x

Since we are told that the TOTAL amount allocated to these categories is $1,800 we can set up the equation:

5x + 2x + x = 1,800

8x = 1,800

x = 225

Thus, the total amount allocated to food is 2 x 225 = $450.

Answer D.
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Re: In the Johnsons' monthly budget, the dollar amounts allocate  [#permalink]

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New post 05 Jul 2016, 06:30
Walkabout wrote:
In the Johnsons' monthly budget, the dollar amounts allocated to household expenses, food, and miscellaneous items are in the ratio 5:2:1, respectively. If the total amount allocated to these three categories is $1,800, what is the amount allocated to food?

(A) $900
(B) $720
(C) $675
(D) $450
(E) $225



5x+2x+x=1800

x=1800/ 8

2x=1800/8 * 2 =1800 / 4 = 450
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Re: In the Johnsons' monthly budget, the dollar amounts allocate  [#permalink]

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New post 22 Jun 2018, 06:58
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Household expenses:food:mis.items
5:2:1, total amount spent is 1800$.
5x+2x+1x=8x=1800
x=225,
We need to find how much was spent on food, so we will multiple 225(x)by 2=450 (D)
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Re: In the Johnsons' monthly budget, the dollar amounts allocate  [#permalink]

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Re: In the Johnsons' monthly budget, the dollar amounts allocate   [#permalink] 23 Aug 2019, 05:20
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