Final answer:
To find out how much soda each person will get, divide the total amount of soda by the number of people at the party. Monique has 4(1)/(2) gallons of soda and there are 25 people at the party, so each person will get 1/12 of a gallon of soda.
Step-by-step explanation:
To find out how much soda each person will get, we need to divide the total amount of soda by the number of people at the party. Monique has 41⁄2 gallons of soda. Since there are 25 people at the party, including herself, we need to divide 41⁄2 gallons by 25.
To divide a fraction by a whole number, we can rewrite the whole number as a fraction by placing it over 1. So, 25 can be written as 25 ⁄1. Now we can multiply the numerators and the denominators:
41⁄2 ÷ 25 ⁄1 = 41⁄2 × 1 ⁄25 = 41⁄2 × 1 ⁄25 = 4 ⁄50.
Simplifying this fraction, we get: 4 ⁄50 = 1 ⁄12.
Therefore, each person will get 1 ⁄12 of a gallon of soda.