Question

this question has two parts. first, answer part a. then, answer part b.
part a
of the 50 students in the cafeteria, 7 have red hair. suppose there are 750 students in the school.
write a proportion that could be used to predict the number of students who have red hair. use x to represent the number of students who have red hair.

Explanation:

Step1: Set up the proportion

Proportion is based on the ratio of red - haired students to total students in the cafeteria and the ratio of red - haired students to total students in the school.
$$\frac{7}{50}=\frac{x}{750}$$

Step2: Cross - multiply

Cross - multiply to solve for \(x\).
\(50x = 7\times750\)
\(50x=5250\)

Step3: Solve for \(x\)

Divide both sides by \(50\).
\(x=\frac{5250}{50}=105\)

Answer:

The proportion is \(\frac{7}{50}=\frac{x}{750}\) and the number of students with red hair in the school is \(105\).