A base dining facility prepares 1,200 meals for a holiday event. If 65\% of the meals feat… — Armed Services Vocational Aptitude Battery (ASVAB)

A base dining facility prepares $1,200$ meals for a holiday event. If $65\%$ of the meals feature a beef entree, $20\%$ feature a chicken entree, and the remaining meals are vegetarian, how many vegetarian meals were prepared?

Answer: 180 meals

Answer

180

The problem requires finding a remaining portion after accounting for two given percentages. Since beef and chicken account for

85\%

of the total meals, the vegetarian meals must make up the remaining

15\%

. Multiplying the total

1,200

meals by

0.15

yields exactly

180

vegetarian meals.

Step-by-Step Solution

Calculate the total percentage of meat entrees.

65\% + 20\% = 85\%

Adding the given percentages determines what portion of the total is already accounted for.

Determine the percentage of vegetarian meals.

100\% - 85\% = 15\%

The entire batch of meals represents

100\%

. Subtracting the known meat percentage leaves the vegetarian portion.

Calculate

15\%

1,200

1,200 \times 0.15 = 180

To find a percentage of a quantity, multiply the total quantity by the percentage expressed as a decimal.

Key Concept

Calculating Percentages of Quantities

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