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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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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
[Reveal] Spoiler: OA

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

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07 Dec 2012, 03:17
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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

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.

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

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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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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.

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

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11 Sep 2014, 06:21
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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25 Oct 2015, 12:48
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Re: In the Johnsons' monthly budget, the dollar amounts allocate [#permalink]

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01 Jun 2016, 07:43
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.

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

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05 Jul 2016, 06:30
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] 05 Jul 2016, 06:30
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