In the Johnsons' monthly budget, the dollar amounts allocated to household expenses, food, and miscellaneous items are in the ratio 4:3:1, respectively. If the total amount allocated to these three categories is $1,800, what is the amount allocated to food?  Choose the correct option:
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 = 4x : 3x : x   Since we are told that the TOTAL amount allocated to these categories is $1,800 we can set up the equation:   4x + 3x + x = 1,800   8x = 1,800   x = 225   Thus, the total amount allocated to food is 3 x 225 = $675.   Answer $675.
<result>C</result>
In the Johnsons' monthly budget, the dollar amounts allocated to household expenses, food, and miscellaneous items are in the ratio 4:3:1, respectively. If the total amount allocated to these three categories is $1,800, what is the amount allocated to food?