Question

solve problems involving percentages using the relationship between two quantities: in real-world problems by applying ratio relationships (l4) a library had 1,200 books at the start of the year. by the end of the year, 18% of the books were donated to other libraries. how many books were donated? a school cafeteria prepared 475 meals for a special event. at the end of the day 12% of the meals were left over. how many meals were left over?

Explanation:

First Sub - Question (Books Donated)

Step1: Convert percentage to decimal

To find 18% of 1200, we first convert 18% to a decimal. We know that to convert a percentage to a decimal, we divide by 100. So, \(18\%=\frac{18}{100} = 0.18\).

Step2: Multiply by the total number of books

We want to find 18% of 1200 books. The formula for finding a percentage of a number is \( \text{Percentage of number}=\text{Decimal form of percentage}\times\text{Total number}\). So we multiply 0.18 by 1200: \(0.18\times1200 = 216\).

Step1: Convert percentage to decimal

To find 12% of 475, we first convert 12% to a decimal. Dividing 12 by 100 gives \(12\%=\frac{12}{100}=0.12\).

Step2: Multiply by the total number of meals

Using the formula for finding a percentage of a number, we multiply 0.12 by 475: \(0.12\times475 = 57\).

Answer:

216 books were donated.

Second Sub - Question (Meals Left Over)