Question

which of the following terms correctly describes 4 : 1?
ratio
percent
fraction
factor
question 2 (5 points)
aiden works in a warehouse. 1,200 men work in the warehouse, while only 300 women work there. write a ratio that compares men to women working at the warehouse.
300 : 1,200
1,200 : 400
4 : 1
3 : 1

Explanation:

Question 1

• A ratio is a comparison of two quantities using a colon (e.g., \( a:b \)). \( 4:1 \) fits this definition.
• A percent is a fraction out of 100 (e.g., 50%), so \( 4:1 \) is not a percent.
• A fraction is in the form \( \frac{a}{b} \), while \( 4:1 \) is a ratio, not a fraction (though it can be related to a fraction \( \frac{4}{1} \), the term "ratio" is more accurate for the colon notation).
• A factor is a number that divides another number, so \( 4:1 \) is not a factor.

Step1: Identify the quantities

Number of men = 1200, Number of women = 300. We need the ratio of men to women, so the order is men : women.

Step2: Simplify the ratio

To simplify \( 1200:300 \), divide both parts by their greatest common divisor (300). \( \frac{1200}{300} = 4 \) and \( \frac{300}{300} = 1 \). So the simplified ratio is \( 4:1 \).

Answer:

Ratio

Question 2