In the Johnsons' monthly budget, the dollar amounts allocated to household expenses, food, and miscellaneous items are in the ratio 3:2:1, respectively. If the total amount allocated to these three categories is $1,800, what is the amount allocated to food?
Choose the correct choice.
A) $600 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 = 3x : 2x : x   Since we are told that the TOTAL amount allocated to these categories is $1,800 we can set up the equation:   3x + 2x + x = 1,800   6x = 1,800   x =300   Thus, the total amount allocated to food is 2 x 300 = $600.   $600nswer $600.
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In the Johnsons' monthly budget, the dollar amounts allocated to household expenses, food, and miscellaneous items are in the ratio 3:2:1, respectively. If the total amount allocated to these three categories is $1,800, what is the amount allocated to food?