Question

1. allie and sam are ophthalmologists. allie found that 40% of the 170 patients she saw in a week were near - sighted. sam found that 25% of the 236 patients he saw in a week were near - sighted.

a. how many of the patients allie saw were near - sighted?
b. how many of the patients sam saw were near - sighted?

Explanation:

Part a

Step1: Identify the formula for percentage

To find the number of near - sighted patients Allie saw, we use the formula: Number of near - sighted patients = Percentage of near - sighted patients×Total number of patients. The percentage is 40% or 0.4 in decimal form, and the total number of patients Allie saw is 170.

Step2: Calculate the number of near - sighted patients for Allie

We calculate $0.4\times170$.
$0.4\times170 = 68$

Step1: Identify the formula for percentage

To find the number of near - sighted patients Sam saw, we use the formula: Number of near - sighted patients = Percentage of near - sighted patients×Total number of patients. The percentage is 25% or 0.25 in decimal form, and the total number of patients Sam saw is 236.

Step2: Calculate the number of near - sighted patients for Sam

We calculate $0.25\times236$.
$0.25\times236=59$

Answer:

68

Part b